137772852 has 96 divisors (see below), whose sum is σ = 396748800. Its totient is φ = 36339072.

The previous prime is 137772821. The next prime is 137772863. The reversal of 137772852 is 258277731.

137772852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54799 + ... + 57257.

It is an arithmetic number, because the mean of its divisors is an integer number (4132800).

Almost surely, 2^137772852 is an apocalyptic number.

137772852 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 137772852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

137772852 is an abundant number, since it is smaller than the sum of its proper divisors (258975948).

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

137772852 is a wasteful number, since it uses less digits than its factorization.

137772852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2523 counting only the distinct ones).

The product of its digits is 164640, while the sum is 42.

The square root of 137772852 is about 11737.6680818636. The cubic root of 137772852 is about 516.4812378406.

The spelling of 137772852 in words is "one hundred thirty-seven million, seven hundred seventy-two thousand, eight hundred fifty-two".