153715968 has 216 divisors, whose sum is σ = 526763328. Its totient is φ = 43794432.

The previous prime is 153715963. The next prime is 153715973. The reversal of 153715968 is 869517351.

It is a happy number.

153715968 is a `hidden beast` number, since 1 + 53 + 7 + 1 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (153715963) and next prime (153715973).

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153715963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435280 + ... + 435632.

Almost surely, 2^153715968 is an apocalyptic number.

153715968 is a gapful number since it is divisible by the number (18) 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 153715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263381664).

153715968 is an abundant number, since it is smaller than the sum of its proper divisors (373047360).

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

153715968 is an frugal number, since it uses more digits than its factorization.

153715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 365 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 153715968 is about 12398.2243890002. The cubic root of 153715968 is about 535.6811053278.

The spelling of 153715968 in words is "one hundred fifty-three million, seven hundred fifteen thousand, nine hundred sixty-eight".