137045520 has 100 divisors (see below), whose sum is σ = 476001900. Its totient is φ = 36543744.

The previous prime is 137045509. The next prime is 137045527. The reversal of 137045520 is 25540731.

It is a happy number.

137045520 is a `hidden beast` number, since 137 + 0 + 4 + 5 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29550096 + 107495424 = 5436^2 + 10368^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137045527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4095 + ... + 17054.

It is an arithmetic number, because the mean of its divisors is an integer number (4760019).

Almost surely, 2^137045520 is an apocalyptic number.

137045520 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 137045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238000950).

137045520 is an abundant number, since it is smaller than the sum of its proper divisors (338956380).

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

137045520 is a wasteful number, since it uses less digits than its factorization.

137045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21174 (or 21159 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 137045520 is about 11706.6442672527. The cubic root of 137045520 is about 515.5707625595.

The spelling of 137045520 in words is "one hundred thirty-seven million, forty-five thousand, five hundred twenty".