153415968 has 48 divisors (see below), whose sum is σ = 405649440. Its totient is φ = 50766336.

The previous prime is 153415967. The next prime is 153415979. The reversal of 153415968 is 869514351.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (153415963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7596 + ... + 19092.

It is an arithmetic number, because the mean of its divisors is an integer number (8451030).

Almost surely, 2^153415968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202824720).

153415968 is an abundant number, since it is smaller than the sum of its proper divisors (252233472).

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

153415968 is a wasteful number, since it uses less digits than its factorization.

153415968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11641 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 153415968 is about 12386.1199735833. The cubic root of 153415968 is about 535.3323907614.

The spelling of 153415968 in words is "one hundred fifty-three million, four hundred fifteen thousand, nine hundred sixty-eight".