137405136960 has 336 divisors, whose sum is σ = 581682855936. Its totient is φ = 28990918656.

The previous prime is 137405136941. The next prime is 137405136971. The reversal of 137405136960 is 69631504731.

It is a happy number.

137405136960 is a `hidden beast` number, since 1 + 3 + 7 + 40 + 513 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64 + ... + 524223.

It is an arithmetic number, because the mean of its divisors is an integer number (1731198976).

Almost surely, 2^137405136960 is an apocalyptic number.

137405136960 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 137405136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290841427968).

137405136960 is an abundant number, since it is smaller than the sum of its proper divisors (444277718976).

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

137405136960 is a wasteful number, since it uses less digits than its factorization.

137405136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524330 (or 524317 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 137405136960 in words is "one hundred thirty-seven billion, four hundred five million, one hundred thirty-six thousand, nine hundred sixty".