137290100 has 36 divisors (see below), whose sum is σ = 299460000. Its totient is φ = 54632160.

The previous prime is 137290081. The next prime is 137290117. The reversal of 137290100 is 1092731.

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 11 ways as a sum of consecutive naturals, for example, 16451 + ... + 23349.

Almost surely, 2^137290100 is an apocalyptic number.

137290100 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 137290100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149730000).

137290100 is an abundant number, since it is smaller than the sum of its proper divisors (162169900).

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

137290100 is a wasteful number, since it uses less digits than its factorization.

137290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 137290100 is about 11717.0858151675. The cubic root of 137290100 is about 515.8772868859.

The spelling of 137290100 in words is "one hundred thirty-seven million, two hundred ninety thousand, one hundred".