137075136 has 112 divisors (see below), whose sum is σ = 405554688. Its totient is φ = 40499200.

The previous prime is 137075129. The next prime is 137075153. The reversal of 137075136 is 631570731.

137075136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 137075097 and 137075106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85801 + ... + 87383.

It is an arithmetic number, because the mean of its divisors is an integer number (3621024).

Almost surely, 2^137075136 is an apocalyptic number.

137075136 is a gapful number since it is divisible by the number (16) 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 137075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202777344).

137075136 is an abundant number, since it is smaller than the sum of its proper divisors (268479552).

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

137075136 is a wasteful number, since it uses less digits than its factorization.

137075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 137075136 is about 11707.9091216152. The cubic root of 137075136 is about 515.6078987460.

The spelling of 137075136 in words is "one hundred thirty-seven million, seventy-five thousand, one hundred thirty-six".