137472000 has 192 divisors, whose sum is σ = 459950400. Its totient is φ = 36454400.

The previous prime is 137471963. The next prime is 137472001. The reversal of 137472000 is 274731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (137472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767911 + ... + 768089.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^137472000 is an apocalyptic number.

137472000 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 137472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

137472000 is an abundant number, since it is smaller than the sum of its proper divisors (322478400).

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

137472000 is an equidigital number, since it uses as much as digits as its factorization.

137472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 137472000 is about 11724.8454147592. The cubic root of 137472000 is about 516.1050203883.

The spelling of 137472000 in words is "one hundred thirty-seven million, four hundred seventy-two thousand".