137932554240 has 1080 divisors, whose sum is σ = 550034201808. Its totient is φ = 33124515840.

The previous prime is 137932554229. The next prime is 137932554283. The reversal of 137932554240 is 42455239731.

It is a happy number.

137932554240 is a `hidden beast` number, since 1 + 3 + 7 + 93 + 2 + 554 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3364208620 + ... + 3364208660.

Almost surely, 2^137932554240 is an apocalyptic number.

137932554240 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 137932554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275017100904).

137932554240 is an abundant number, since it is smaller than the sum of its proper divisors (412101647568).

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

137932554240 is an frugal number, since it uses more digits than its factorization.

137932554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 137932554240 in words is "one hundred thirty-seven billion, nine hundred thirty-two million, five hundred fifty-four thousand, two hundred forty".