137672480400 has 480 divisors, whose sum is σ = 574718715648. Its totient is φ = 27338342400.

The previous prime is 137672480359. The next prime is 137672480501. The reversal of 137672480400 is 4084276731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1819320 + ... + 1893480.

Almost surely, 2^137672480400 is an apocalyptic number.

137672480400 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 137672480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287359357824).

137672480400 is an abundant number, since it is smaller than the sum of its proper divisors (437046235248).

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

137672480400 is a wasteful number, since it uses less digits than its factorization.

137672480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74219 (or 74208 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 137672480400 in words is "one hundred thirty-seven billion, six hundred seventy-two million, four hundred eighty thousand, four hundred".