137583452160 has 1344 divisors, whose sum is σ = 615342334464. Its totient is φ = 27603763200.

The previous prime is 137583452117. The next prime is 137583452161. The reversal of 137583452160 is 61254385731.

It is a happy number.

137583452160 is a `hidden beast` number, since 1 + 3 + 7 + 583 + 4 + 5 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137583452161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050255295 + ... + 1050255425.

Almost surely, 2^137583452160 is an apocalyptic number.

137583452160 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 137583452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307671167232).

137583452160 is an abundant number, since it is smaller than the sum of its proper divisors (477758882304).

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

137583452160 is a wasteful number, since it uses less digits than its factorization.

137583452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 137583452160 in words is "one hundred thirty-seven billion, five hundred eighty-three million, four hundred fifty-two thousand, one hundred sixty".