Search a number
-
+
137153640 = 23351326763
BaseRepresentation
bin10000010110011…
…00110001101000
3100120002010102110
420023030301220
5240102404030
621335402320
73253533561
oct1013146150
9316063373
10137153640
1170468618
1239b233a0
1322551900
1414303168
15c0931b0
hex82ccc68

137153640 has 96 divisors (see below), whose sum is σ = 445612320. Its totient is φ = 33755904.

The previous prime is 137153633. The next prime is 137153659. The reversal of 137153640 is 46351731.

It is a super-2 number, since 2×1371536402 = 37622241930499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137153598 and 137153607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16899 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (4641795).

Almost surely, 2137153640 is an apocalyptic number.

137153640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137153640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222806160).

137153640 is an abundant number, since it is smaller than the sum of its proper divisors (308458680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137153640 is a wasteful number, since it uses less digits than its factorization.

137153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137153640 is about 11711.2612471928. The cubic root of 137153640 is about 515.7063108502.

It can be divided in two parts, 13 and 7153640, that added together give a triangular number (7153653 = T3782).

The spelling of 137153640 in words is "one hundred thirty-seven million, one hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 6763 10140 13526 20280 20289 27052 33815 40578 54104 67630 81156 87919 101445 135260 162312 175838 202890 263757 270520 351676 405780 439595 527514 703352 811560 879190 1055028 1142947 1318785 1758380 2110056 2285894 2637570 3428841 3516760 4571788 5275140 5714735 6857682 9143576 10550280 11429470 13715364 17144205 22858940 27430728 34288410 45717880 68576820 137153640