137145986504800 has 576 divisors, whose sum is σ = 425512733442048. Its totient is φ = 41989570560000.

The previous prime is 137145986504783. The next prime is 137145986504801. The reversal of 137145986504800 is 8405689541731.

It is a super-2 number, since 2×137145986504800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137145986504801) 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, 7652799840 + ... + 7652817760.

It is an arithmetic number, because the mean of its divisors is an integer number (738737384448).

Almost surely, 2^{137145986504800} is an apocalyptic number.

137145986504800 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 137145986504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212756366721024).

137145986504800 is an abundant number, since it is smaller than the sum of its proper divisors (288366746937248).

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

137145986504800 is a wasteful number, since it uses less digits than its factorization.

137145986504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21383 (or 21370 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 137145986504800 in words is "one hundred thirty-seven trillion, one hundred forty-five billion, nine hundred eighty-six million, five hundred four thousand, eight hundred".