137256545000 has 80 divisors (see below), whose sum is σ = 321720141600. Its totient is φ = 54880760000.

The previous prime is 137256544991. The next prime is 137256545087. The reversal of 137256545000 is 545652731.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19551491 + ... + 19558509.

It is an arithmetic number, because the mean of its divisors is an integer number (4021501770).

Almost surely, 2^137256545000 is an apocalyptic number.

137256545000 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 137256545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160860070800).

137256545000 is an abundant number, since it is smaller than the sum of its proper divisors (184463596600).

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

137256545000 is an equidigital number, since it uses as much as digits as its factorization.

137256545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10937 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 137256545000 in words is "one hundred thirty-seven billion, two hundred fifty-six million, five hundred forty-five thousand".