137544320 has 32 divisors (see below), whose sum is σ = 328818420. Its totient is φ = 55017472.

The previous prime is 137544317. The next prime is 137544353. The reversal of 137544320 is 23445731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 136235584 + 1308736 = 11672^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106817 + ... + 108096.

Almost surely, 2^137544320 is an apocalyptic number.

137544320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137544320 is an abundant number, since it is smaller than the sum of its proper divisors (191274100).

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

137544320 is an equidigital number, since it uses as much as digits as its factorization.

137544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214932 (or 214920 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 137544320 is about 11727.9290584485. The cubic root of 137544320 is about 516.1955071100.

The spelling of 137544320 in words is "one hundred thirty-seven million, five hundred forty-four thousand, three hundred twenty".