137190016 has 32 divisors (see below), whose sum is σ = 275843700. Its totient is φ = 67958784.

The previous prime is 137189971. The next prime is 137190047. The reversal of 137190016 is 610091731.

It can be written as a sum of positive squares in 2 ways, for example, as 135489600 + 1700416 = 11640^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×137190016² = 37642200980160512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9036 + ... + 18868.

Almost surely, 2^137190016 is an apocalyptic number.

137190016 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 137190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137921850).

137190016 is an abundant number, since it is smaller than the sum of its proper divisors (138653684).

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

137190016 is an equidigital number, since it uses as much as digits as its factorization.

137190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 137190016 is about 11712.8141793508. The cubic root of 137190016 is about 515.7518988359.

The spelling of 137190016 in words is "one hundred thirty-seven million, one hundred ninety thousand, sixteen".