137989600 has 144 divisors (see below), whose sum is σ = 395037216. Its totient is φ = 46080000.

The previous prime is 137989589. The next prime is 137989601. The reversal of 137989600 is 6989731.

It is a super-2 number, since 2×137989600² = 38082259416320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137989601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229300 + ... + 229900.

It is an arithmetic number, because the mean of its divisors is an integer number (2743314).

Almost surely, 2^137989600 is an apocalyptic number.

137989600 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 137989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197518608).

137989600 is an abundant number, since it is smaller than the sum of its proper divisors (257047616).

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

137989600 is a wasteful number, since it uses less digits than its factorization.

137989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 137989600 is about 11746.8974627346. The cubic root of 137989600 is about 516.7519433759.

The spelling of 137989600 in words is "one hundred thirty-seven million, nine hundred eighty-nine thousand, six hundred".