137916275040 has 72 divisors (see below), whose sum is σ = 470639293488. Its totient is φ = 36777672960.

The previous prime is 137916275011. The next prime is 137916275047. The reversal of 137916275040 is 40572619731.

137916275040 is a `hidden beast` number, since 1 + 37 + 91 + 6 + 27 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137916275047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47886156 + ... + 47889035.

It is an arithmetic number, because the mean of its divisors is an integer number (6536656854).

Almost surely, 2^137916275040 is an apocalyptic number.

137916275040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137916275040 is an abundant number, since it is smaller than the sum of its proper divisors (332723018448).

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

137916275040 is a wasteful number, since it uses less digits than its factorization.

137916275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95775212 (or 95775201 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

It can be divided in two parts, 13791 and 6275040, that added together give a triangular number (6288831 = T₃₅₄₆).

The spelling of 137916275040 in words is "one hundred thirty-seven billion, nine hundred sixteen million, two hundred seventy-five thousand, forty".