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137373720 = 23351129461
BaseRepresentation
bin10000011000000…
…10100000011000
3100120111022022120
420030002200120
5240131424340
621344221240
73255441321
oct1014024030
9316438276
10137373720
11705a8a00
123a00a820
13225cab33
141435d448
15c0d84d0
hex8302818

137373720 has 96 divisors (see below), whose sum is σ = 453040560. Its totient is φ = 33299200.

The previous prime is 137373707. The next prime is 137373737. The reversal of 137373720 is 27373731.

137373720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9790 + ... + 19250.

Almost surely, 2137373720 is an apocalyptic number.

137373720 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 137373720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226520280).

137373720 is an abundant number, since it is smaller than the sum of its proper divisors (315666840).

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

137373720 is a wasteful number, since it uses less digits than its factorization.

137373720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 33.

The square root of 137373720 is about 11720.6535653947. The cubic root of 137373720 is about 515.9820016557.

The spelling of 137373720 in words is "one hundred thirty-seven million, three hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 9461 14520 18922 28383 37844 47305 56766 75688 94610 104071 113532 141915 189220 208142 227064 283830 312213 378440 416284 520355 567660 624426 832568 1040710 1135320 1144781 1248852 1561065 2081420 2289562 2497704 3122130 3434343 4162840 4579124 5723905 6244260 6868686 9158248 11447810 12488520 13737372 17171715 22895620 27474744 34343430 45791240 68686860 137373720