137250432 has 96 divisors (see below), whose sum is σ = 430896960. Its totient is φ = 41587200.

The previous prime is 137250431. The next prime is 137250437. The reversal of 137250432 is 234052731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 137250396 and 137250405.

It is not an unprimeable number, because it can be changed into a prime (137250431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7257 + ... + 18087.

It is an arithmetic number, because the mean of its divisors is an integer number (4488510).

Almost surely, 2^137250432 is an apocalyptic number.

137250432 is a gapful number since it is divisible by the number (12) 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 137250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215448480).

137250432 is an abundant number, since it is smaller than the sum of its proper divisors (293646528).

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

137250432 is a wasteful number, since it uses less digits than its factorization.

137250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 137250432 is about 11715.3929511562. The cubic root of 137250432 is about 515.8275969922.

The spelling of 137250432 in words is "one hundred thirty-seven million, two hundred fifty thousand, four hundred thirty-two".