137147296 has 192 divisors, whose sum is σ = 352066176. Its totient is φ = 51609600.

The previous prime is 137147243. The next prime is 137147299. The reversal of 137147296 is 692741731.

It is a super-2 number, since 2×137147296² = 37618761600223232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137147299) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3189451 + ... + 3189493.

It is an arithmetic number, because the mean of its divisors is an integer number (1833678).

Almost surely, 2^137147296 is an apocalyptic number.

137147296 is a gapful number since it is divisible by the number (16) 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 137147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033088).

137147296 is an abundant number, since it is smaller than the sum of its proper divisors (214918880).

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

137147296 is a wasteful number, since it uses less digits than its factorization.

137147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 137147296 is about 11710.9903936431. The cubic root of 137147296 is about 515.6983594480.

The spelling of 137147296 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, two hundred ninety-six".