137298336 has 96 divisors (see below), whose sum is σ = 414626688. Its totient is φ = 38968320.

The previous prime is 137298331. The next prime is 137298347. The reversal of 137298336 is 633892731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (137298331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115666 + ... + 116846.

It is an arithmetic number, because the mean of its divisors is an integer number (4319028).

Almost surely, 2^137298336 is an apocalyptic number.

137298336 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 137298336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207313344).

137298336 is an abundant number, since it is smaller than the sum of its proper divisors (277328352).

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

137298336 is a wasteful number, since it uses less digits than its factorization.

137298336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 137298336 is about 11717.4372624734. The cubic root of 137298336 is about 515.8876024643.

The spelling of 137298336 in words is "one hundred thirty-seven million, two hundred ninety-eight thousand, three hundred thirty-six".