137426400 has 108 divisors (see below), whose sum is σ = 484625232. Its totient is φ = 36645120.

The previous prime is 137426371. The next prime is 137426479. The reversal of 137426400 is 4624731.

137426400 is a `hidden beast` number, since 13 + 7 + 4 + 2 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2344 + ... + 16743.

Almost surely, 2^137426400 is an apocalyptic number.

137426400 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 137426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242312616).

137426400 is an abundant number, since it is smaller than the sum of its proper divisors (347198832).

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

137426400 is a wasteful number, since it uses less digits than its factorization.

137426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19113 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 137426400 is about 11722.9006649378. The cubic root of 137426400 is about 516.0479493931.

The spelling of 137426400 in words is "one hundred thirty-seven million, four hundred twenty-six thousand, four hundred".