137029900 has 72 divisors (see below), whose sum is σ = 357754880. Its totient is φ = 44504640.

The previous prime is 137029897. The next prime is 137029903. The reversal of 137029900 is 9920731.

It is an interprime number because it is at equal distance from previous prime (137029897) and next prime (137029903).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137029903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8149 + ... + 18451.

Almost surely, 2^137029900 is an apocalyptic number.

137029900 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 137029900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178877440).

137029900 is an abundant number, since it is smaller than the sum of its proper divisors (220724980).

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

137029900 is a wasteful number, since it uses less digits than its factorization.

137029900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 137029900 is about 11705.9771057353. The cubic root of 137029900 is about 515.5511741257.

The spelling of 137029900 in words is "one hundred thirty-seven million, twenty-nine thousand, nine hundred".