137051488080 has 400 divisors, whose sum is σ = 542775041424. Its totient is φ = 31750963200.

The previous prime is 137051488039. The next prime is 137051488081. The reversal of 137051488080 is 80884150731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7477406784 + 129574081296 = 86472^2 + 359964^2 .

It is a super-2 number, since 2×137051488080² (a number of 23 digits) contains 22 as substring.

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 (137051488081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1384230 + ... + 1479930.

Almost surely, 2^137051488080 is an apocalyptic number.

137051488080 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 137051488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271387520712).

137051488080 is an abundant number, since it is smaller than the sum of its proper divisors (405723553344).

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

137051488080 is a wasteful number, since it uses less digits than its factorization.

137051488080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95756 (or 95741 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 137051488080 in words is "one hundred thirty-seven billion, fifty-one million, four hundred eighty-eight thousand, eighty".