137913600 has 216 divisors, whose sum is σ = 497280672. Its totient is φ = 33382400.

The previous prime is 137913569. The next prime is 137913631. The reversal of 137913600 is 6319731.

It is an interprime number because it is at equal distance from previous prime (137913569) and next prime (137913631).

It is a super-2 number, since 2×137913600² = 38040322129920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210874 + ... + 211526.

Almost surely, 2^137913600 is an apocalyptic number.

137913600 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 137913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248640336).

137913600 is an abundant number, since it is smaller than the sum of its proper divisors (359367072).

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

137913600 is a wasteful number, since it uses less digits than its factorization.

137913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 137913600 is about 11743.6621204801. The cubic root of 137913600 is about 516.6570561283.

It can be divided in two parts, 13791 and 3600, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 137913600 in words is "one hundred thirty-seven million, nine hundred thirteen thousand, six hundred".