137148192 has 72 divisors (see below), whose sum is σ = 403488540. Its totient is φ = 44136960.

The previous prime is 137148173. The next prime is 137148257. The reversal of 137148192 is 291841731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 122677776 + 14470416 = 11076^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 16562.

Almost surely, 2^137148192 is an apocalyptic number.

137148192 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 137148192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201744270).

137148192 is an abundant number, since it is smaller than the sum of its proper divisors (266340348).

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

137148192 is a wasteful number, since it uses less digits than its factorization.

137148192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16466 (or 16455 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 137148192 is about 11711.0286482444. The cubic root of 137148192 is about 515.6994824856.

The spelling of 137148192 in words is "one hundred thirty-seven million, one hundred forty-eight thousand, one hundred ninety-two".