137520137520 has 240 divisors, whose sum is σ = 468900417024. Its totient is φ = 36115200000.

The previous prime is 137520137509. The next prime is 137520137533. The reversal of 137520137520 is 25731025731.

It is a happy number.

137520137520 is a `hidden beast` number, since 1 + 37 + 520 + 13 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13884570 + ... + 13894470.

Almost surely, 2^137520137520 is an apocalyptic number.

137520137520 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 137520137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234450208512).

137520137520 is an abundant number, since it is smaller than the sum of its proper divisors (331380279504).

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

137520137520 is a wasteful number, since it uses less digits than its factorization.

137520137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 137520137520 in words is "one hundred thirty-seven billion, five hundred twenty million, one hundred thirty-seven thousand, five hundred twenty".