Search a number
-
+
137157702 = 231131431559
BaseRepresentation
bin10000010110011…
…01110001000110
3100120002022222220
420023031301012
5240103021302
621335433210
73253551453
oct1013156106
9316068886
10137157702
1170470680
1239b25806
1322553706
141430482a
15c0944bc
hex82cdc46

137157702 has 64 divisors (see below), whose sum is σ = 316293120. Its totient is φ = 39261600.

The previous prime is 137157701. The next prime is 137157743. The reversal of 137157702 is 207751731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137157701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87199 + ... + 88757.

It is an arithmetic number, because the mean of its divisors is an integer number (4942080).

Almost surely, 2137157702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137157702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158146560).

137157702 is an abundant number, since it is smaller than the sum of its proper divisors (179135418).

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

137157702 is a wasteful number, since it uses less digits than its factorization.

137157702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649.

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 137157702 is about 11711.4346687329. The cubic root of 137157702 is about 515.7114019251.

The spelling of 137157702 in words is "one hundred thirty-seven million, one hundred fifty-seven thousand, seven hundred two".

Divisors: 1 2 3 6 11 22 31 33 43 62 66 86 93 129 186 258 341 473 682 946 1023 1333 1419 1559 2046 2666 2838 3118 3999 4677 7998 9354 14663 17149 29326 34298 43989 48329 51447 67037 87978 96658 102894 134074 144987 201111 289974 402222 531619 737407 1063238 1474814 1594857 2078147 2212221 3189714 4156294 4424442 6234441 12468882 22859617 45719234 68578851 137157702