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137830374 = 232114523
BaseRepresentation
bin10000011011100…
…01111111100110
3100121100111201200
420031301333212
5240241032444
621402103330
73262352553
oct1015617746
9317314650
10137830374
1170890000
123a1aab46
132272a946
141443ba2a
15c178969
hex8371fe6

137830374 has 60 divisors (see below), whose sum is σ = 329121780. Its totient is φ = 41686920.

The previous prime is 137830361. The next prime is 137830379. The reversal of 137830374 is 473038731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137830379) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 263277 + ... + 263799.

It is an arithmetic number, because the mean of its divisors is an integer number (5485363).

Almost surely, 2137830374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137830374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164560890).

137830374 is an abundant number, since it is smaller than the sum of its proper divisors (191291406).

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

137830374 is an equidigital number, since it uses as much as digits as its factorization.

137830374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 137830374 is about 11740.1181425061. The cubic root of 137830374 is about 516.5531071038.

It can be divided in two parts, 13 and 7830374, that added together give a palindrome (7830387).

The spelling of 137830374 in words is "one hundred thirty-seven million, eight hundred thirty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 523 726 1046 1089 1331 1569 2178 2662 3138 3993 4707 5753 7986 9414 11506 11979 14641 17259 23958 29282 34518 43923 51777 63283 87846 103554 126566 131769 189849 263538 379698 569547 696113 1139094 1392226 2088339 4176678 6265017 7657243 12530034 15314486 22971729 45943458 68915187 137830374