137402496 has 192 divisors, whose sum is σ = 493272000. Its totient is φ = 35665920.

The previous prime is 137402491. The next prime is 137402527. The reversal of 137402496 is 694204731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137402496.

It is not an unprimeable number, because it can be changed into a prime (137402491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87930 + ... + 89478.

It is an arithmetic number, because the mean of its divisors is an integer number (2569125).

Almost surely, 2^137402496 is an apocalyptic number.

137402496 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 137402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246636000).

137402496 is an abundant number, since it is smaller than the sum of its proper divisors (355869504).

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

137402496 is a wasteful number, since it uses less digits than its factorization.

137402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137402496 is about 11721.8810777110. The cubic root of 137402496 is about 516.0180271329.

The spelling of 137402496 in words is "one hundred thirty-seven million, four hundred two thousand, four hundred ninety-six".