137376000000 has 840 divisors, whose sum is σ = 522585693630. Its totient is φ = 35942400000.

The previous prime is 137375999987. The next prime is 137376000023. The reversal of 137376000000 is 673731.

It can be written as a sum of positive squares in 7 ways, for example, as 57553929216 + 79822070784 = 239904^2 + 282528^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 2591999974 + ... + 2592000026.

Almost surely, 2^137376000000 is an apocalyptic number.

137376000000 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 137376000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261292846815).

137376000000 is an abundant number, since it is smaller than the sum of its proper divisors (385209693630).

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

137376000000 is an frugal number, since it uses more digits than its factorization.

137376000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

Adding to 137376000000 its reverse (673731), we get a palindrome (137376673731).

The spelling of 137376000000 in words is "one hundred thirty-seven billion, three hundred seventy-six million", and thus it is an aban number.