137556563040 has 1152 divisors, whose sum is σ = 552838608000. Its totient is φ = 31882346496.

The previous prime is 137556563017. The next prime is 137556563041. The reversal of 137556563040 is 40365655731.

137556563040 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 5 + 6 + 5 + 630 + 4 + 0 = 666.

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 (137556563041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1545579316 + ... + 1545579404.

It is an arithmetic number, because the mean of its divisors is an integer number (479894625).

Almost surely, 2^137556563040 is an apocalyptic number.

137556563040 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 137556563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276419304000).

137556563040 is an abundant number, since it is smaller than the sum of its proper divisors (415282044960).

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

137556563040 is a wasteful number, since it uses less digits than its factorization.

137556563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 137556563040 in words is "one hundred thirty-seven billion, five hundred fifty-six million, five hundred sixty-three thousand, forty".