137225491200 has 864 divisors, whose sum is σ = 589315614720. Its totient is φ = 30589747200.

The previous prime is 137225491171. The next prime is 137225491229. The reversal of 137225491200 is 2194522731.

It is an interprime number because it is at equal distance from previous prime (137225491171) and next prime (137225491229).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49592217 + ... + 49594983.

Almost surely, 2^137225491200 is an apocalyptic number.

137225491200 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 137225491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294657807360).

137225491200 is an abundant number, since it is smaller than the sum of its proper divisors (452090123520).

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

137225491200 is a wasteful number, since it uses less digits than its factorization.

137225491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 137225491200 in words is "one hundred thirty-seven billion, two hundred twenty-five million, four hundred ninety-one thousand, two hundred".