137252128 has 96 divisors (see below), whose sum is σ = 311592960. Its totient is φ = 59028480.

The previous prime is 137252107. The next prime is 137252131. The reversal of 137252128 is 821252731.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 137252128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373801 + ... + 374167.

It is an arithmetic number, because the mean of its divisors is an integer number (3245760).

Almost surely, 2^137252128 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 137252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155796480).

137252128 is an abundant number, since it is smaller than the sum of its proper divisors (174340832).

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

137252128 is a wasteful number, since it uses less digits than its factorization.

137252128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 137252128 is about 11715.4653343348. The cubic root of 137252128 is about 515.8297216728.

The spelling of 137252128 in words is "one hundred thirty-seven million, two hundred fifty-two thousand, one hundred twenty-eight".