137283552 has 96 divisors (see below), whose sum is σ = 457632000. Its totient is φ = 39222144.

The previous prime is 137283547. The next prime is 137283557. The reversal of 137283552 is 255382731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137283547) and next prime (137283557).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137283557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5302 + ... + 17397.

It is an arithmetic number, because the mean of its divisors is an integer number (4767000).

Almost surely, 2^137283552 is an apocalyptic number.

137283552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137283552 is an abundant number, since it is smaller than the sum of its proper divisors (320348448).

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

137283552 is a wasteful number, since it uses less digits than its factorization.

137283552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22711 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 137283552 is about 11716.8063908217. The cubic root of 137283552 is about 515.8690852307.

The spelling of 137283552 in words is "one hundred thirty-seven million, two hundred eighty-three thousand, five hundred fifty-two".