137662661400 has 192 divisors, whose sum is σ = 466398362880. Its totient is φ = 33311961600.

The previous prime is 137662661303. The next prime is 137662661417. The reversal of 137662661400 is 4166266731.

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 47 ways as a sum of consecutive naturals, for example, 3657477 + ... + 3694923.

It is an arithmetic number, because the mean of its divisors is an integer number (2429158140).

Almost surely, 2^137662661400 is an apocalyptic number.

137662661400 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 137662661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233199181440).

137662661400 is an abundant number, since it is smaller than the sum of its proper divisors (328735701480).

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

137662661400 is a wasteful number, since it uses less digits than its factorization.

137662661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38034 (or 38025 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 137662661400 in words is "one hundred thirty-seven billion, six hundred sixty-two million, six hundred sixty-one thousand, four hundred".