137373152 has 96 divisors (see below), whose sum is σ = 324624384. Its totient is φ = 55987200.

The previous prime is 137373149. The next prime is 137373157. The reversal of 137373152 is 251373731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137373157) 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, 506777 + ... + 507047.

It is an arithmetic number, because the mean of its divisors is an integer number (3381504).

Almost surely, 2^137373152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137373152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162312192).

137373152 is an abundant number, since it is smaller than the sum of its proper divisors (187251232).

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

137373152 is a wasteful number, since it uses less digits than its factorization.

137373152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 13230, while the sum is 32.

The square root of 137373152 is about 11720.6293346390. The cubic root of 137373152 is about 515.9812905101.

The spelling of 137373152 in words is "one hundred thirty-seven million, three hundred seventy-three thousand, one hundred fifty-two".