137953440 has 72 divisors (see below), whose sum is σ = 470771028. Its totient is φ = 36787200.

The previous prime is 137953399. The next prime is 137953447. The reversal of 137953440 is 44359731.

137953440 is a `hidden beast` number, since 13 + 79 + 534 + 40 = 666.

137953440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137452176 + 501264 = 11724^2 + 708^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 137953395 and 137953404.

It is not an unprimeable number, because it can be changed into a prime (137953447) 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 11 ways as a sum of consecutive naturals, for example, 46461 + ... + 49340.

Almost surely, 2^137953440 is an apocalyptic number.

137953440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137953440 is an abundant number, since it is smaller than the sum of its proper divisors (332817588).

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

137953440 is a wasteful number, since it uses less digits than its factorization.

137953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95822 (or 95811 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 137953440 is about 11745.3582320847. The cubic root of 137953440 is about 516.7068013683.

The spelling of 137953440 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, four hundred forty".