137370816 has 252 divisors, whose sum is σ = 454975976. Its totient is φ = 41057280.

The previous prime is 137370811. The next prime is 137370833. The reversal of 137370816 is 618073731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137370811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881756 + ... + 1881828.

Almost surely, 2^137370816 is an apocalyptic number.

137370816 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 137370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227487988).

137370816 is an abundant number, since it is smaller than the sum of its proper divisors (317605160).

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

137370816 is an equidigital number, since it uses as much as digits as its factorization.

137370816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 137370816 is about 11720.5296808634. The cubic root of 137370816 is about 515.9783657777.

The spelling of 137370816 in words is "one hundred thirty-seven million, three hundred seventy thousand, eight hundred sixteen".