137872000 has 128 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 47232000.

The previous prime is 137871983. The next prime is 137872001. The reversal of 137872000 is 278731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 137872000.

It is not an unprimeable number, because it can be changed into a prime (137872001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111385 + ... + 112615.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^137872000 is an apocalyptic number.

137872000 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 137872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

137872000 is an abundant number, since it is smaller than the sum of its proper divisors (254199680).

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

137872000 is an equidigital number, since it uses as much as digits as its factorization.

137872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 137872000 is about 11741.8908187736. The cubic root of 137872000 is about 516.6051030821.

The spelling of 137872000 in words is "one hundred thirty-seven million, eight hundred seventy-two thousand".