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137755944 = 23331095851
BaseRepresentation
bin10000011010111…
…11110100101000
3100121012201122000
420031133310220
5240231142234
621400331000
73261622554
oct1015376450
9317181560
10137755944
117083a097
123a173a60
1322702ac1
141441c864
15c161899
hex835fd28

137755944 has 64 divisors (see below), whose sum is σ = 386232000. Its totient is φ = 45489600.

The previous prime is 137755939. The next prime is 137755951. The reversal of 137755944 is 449557731.

137755944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1377559442 = 37953400214662272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137755944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20619 + ... + 26469.

It is an arithmetic number, because the mean of its divisors is an integer number (6034875).

Almost surely, 2137755944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137755944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193116000).

137755944 is an abundant number, since it is smaller than the sum of its proper divisors (248476056).

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

137755944 is a wasteful number, since it uses less digits than its factorization.

137755944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5965 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 137755944 is about 11736.9478144874. The cubic root of 137755944 is about 516.4601088061.

The spelling of 137755944 in words is "one hundred thirty-seven million, seven hundred fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 872 981 1308 1962 2616 2943 3924 5851 5886 7848 11702 11772 17553 23404 23544 35106 46808 52659 70212 105318 140424 157977 210636 315954 421272 631908 637759 1263816 1275518 1913277 2551036 3826554 5102072 5739831 7653108 11479662 15306216 17219493 22959324 34438986 45918648 68877972 137755944