137553040 has 20 divisors (see below), whose sum is σ = 319811004. Its totient is φ = 55021184.

The previous prime is 137553029. The next prime is 137553047. The reversal of 137553040 is 40355731.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 87086224 = 7104^2 + 9332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (137553047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 859627 + ... + 859786.

Almost surely, 2^137553040 is an apocalyptic number.

137553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137553040 is an abundant number, since it is smaller than the sum of its proper divisors (182257964).

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

137553040 is a wasteful number, since it uses less digits than its factorization.

137553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719426 (or 1719420 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 137553040 is about 11728.3008146960. The cubic root of 137553040 is about 516.2064154236.

The spelling of 137553040 in words is "one hundred thirty-seven million, five hundred fifty-three thousand, forty".