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137441300 = 22521374413
BaseRepresentation
bin10000011000100…
…11000000010100
3100120121202000112
420030103000110
5240141110200
621345502152
73256142333
oct1014230024
9316552015
10137441300
1170644757
123a041958
1322622819
1414379d1a
15c0ed535
hex8313014

137441300 has 18 divisors (see below), whose sum is σ = 298247838. Its totient is φ = 54976480.

The previous prime is 137441251. The next prime is 137441323. The reversal of 137441300 is 3144731.

It can be written as a sum of positive squares in 3 ways, for example, as 925444 + 136515856 = 962^2 + 11684^2 .

It is a super-2 number, since 2×1374413002 = 37780221891380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 687107 + ... + 687306.

Almost surely, 2137441300 is an apocalyptic number.

137441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137441300 is an abundant number, since it is smaller than the sum of its proper divisors (160806538).

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

137441300 is a wasteful number, since it uses less digits than its factorization.

137441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374427 (or 1374420 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 137441300 is about 11723.5361559557. The cubic root of 137441300 is about 516.0665989795.

The spelling of 137441300 in words is "one hundred thirty-seven million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1374413 2748826 5497652 6872065 13744130 27488260 34360325 68720650 137441300