137225088 has 576 divisors, whose sum is σ = 571399920. Its totient is φ = 30965760.

The previous prime is 137225063. The next prime is 137225093. The reversal of 137225088 is 880522731.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8072056 + ... + 8072072.

Almost surely, 2^137225088 is an apocalyptic number.

137225088 is a gapful number since it is divisible by the number (18) 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 137225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285699960).

137225088 is an abundant number, since it is smaller than the sum of its proper divisors (434174832).

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

137225088 is a wasteful number, since it uses less digits than its factorization.

137225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137225088 is about 11714.3112473589. The cubic root of 137225088 is about 515.7958449625.

The spelling of 137225088 in words is "one hundred thirty-seven million, two hundred twenty-five thousand, eighty-eight".