137216900 has 36 divisors (see below), whose sum is σ = 298926180. Its totient is φ = 54672000.

The previous prime is 137216897. The next prime is 137216903. The reversal of 137216900 is 9612731.

It is an interprime number because it is at equal distance from previous prime (137216897) and next prime (137216903).

It can be written as a sum of positive squares in 6 ways, for example, as 68923204 + 68293696 = 8302^2 + 8264^2 .

It is a super-2 number, since 2×137216900² = 37656955291220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137216903) 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 11 ways as a sum of consecutive naturals, for example, 24350 + ... + 29450.

It is an arithmetic number, because the mean of its divisors is an integer number (8303505).

Almost surely, 2^137216900 is an apocalyptic number.

137216900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137216900 is an abundant number, since it is smaller than the sum of its proper divisors (161709280).

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

137216900 is a wasteful number, since it uses less digits than its factorization.

137216900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 137216900 is about 11713.9617551023. The cubic root of 137216900 is about 515.7855858560.

The spelling of 137216900 in words is "one hundred thirty-seven million, two hundred sixteen thousand, nine hundred".