136958016 has 112 divisors (see below), whose sum is σ = 401059904. Its totient is φ = 40974336.

The previous prime is 136958009. The next prime is 136958071. The reversal of 136958016 is 610859631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91611 + ... + 93093.

It is an arithmetic number, because the mean of its divisors is an integer number (3580892).

Almost surely, 2^136958016 is an apocalyptic number.

136958016 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 136958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200529952).

136958016 is an abundant number, since it is smaller than the sum of its proper divisors (264101888).

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

136958016 is a wasteful number, since it uses less digits than its factorization.

136958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 136958016 is about 11702.9063057003. The cubic root of 136958016 is about 515.4610080066.

The spelling of 136958016 in words is "one hundred thirty-six million, nine hundred fifty-eight thousand, sixteen".