137172192 has 48 divisors (see below), whose sum is σ = 362944512. Its totient is φ = 45360000.

The previous prime is 137172151. The next prime is 137172247. The reversal of 137172192 is 291271731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6567 + ... + 17817.

It is an arithmetic number, because the mean of its divisors is an integer number (7561344).

Almost surely, 2^137172192 is an apocalyptic number.

137172192 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 137172192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181472256).

137172192 is an abundant number, since it is smaller than the sum of its proper divisors (225772320).

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

137172192 is a wasteful number, since it uses less digits than its factorization.

137172192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391 (or 11383 counting only the distinct ones).

The product of its digits is 5292, while the sum is 33.

The square root of 137172192 is about 11712.0532785673. The cubic root of 137172192 is about 515.7295620307.

The spelling of 137172192 in words is "one hundred thirty-seven million, one hundred seventy-two thousand, one hundred ninety-two".