137993400 has 144 divisors (see below), whose sum is σ = 478570560. Its totient is φ = 35596800.

The previous prime is 137993381. The next prime is 137993417. The reversal of 137993400 is 4399731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54564 + ... + 57036.

Almost surely, 2^137993400 is an apocalyptic number.

137993400 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 137993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239285280).

137993400 is an abundant number, since it is smaller than the sum of its proper divisors (340577160).

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

137993400 is a wasteful number, since it uses less digits than its factorization.

137993400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 137993400 is about 11747.0592064567. The cubic root of 137993400 is about 516.7566868236.

The spelling of 137993400 in words is "one hundred thirty-seven million, nine hundred ninety-three thousand, four hundred".