137509812 has 96 divisors (see below), whose sum is σ = 393993600. Its totient is φ = 41640480.

The previous prime is 137509789. The next prime is 137509837. The reversal of 137509812 is 218905731.

137509812 is a `hidden beast` number, since 137 + 509 + 8 + 12 = 666.

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 31 ways as a sum of consecutive naturals, for example, 95514 + ... + 96942.

It is an arithmetic number, because the mean of its divisors is an integer number (4104100).

Almost surely, 2^137509812 is an apocalyptic number.

137509812 is a gapful number since it is divisible by the number (12) 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 137509812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196996800).

137509812 is an abundant number, since it is smaller than the sum of its proper divisors (256483788).

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

137509812 is a wasteful number, since it uses less digits than its factorization.

137509812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 137509812 is about 11726.4577771806. The cubic root of 137509812 is about 516.1523346877.

The spelling of 137509812 in words is "one hundred thirty-seven million, five hundred nine thousand, eight hundred twelve".