152641680 has 80 divisors (see below), whose sum is σ = 476320704. Its totient is φ = 40435200.

The previous prime is 152641679. The next prime is 152641711. The reversal of 152641680 is 86146251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 35655 + ... + 39705.

Almost surely, 2^152641680 is an apocalyptic number.

152641680 is a gapful number since it is divisible by the number (10) 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 152641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238160352).

152641680 is an abundant number, since it is smaller than the sum of its proper divisors (323679024).

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

152641680 is a wasteful number, since it uses less digits than its factorization.

152641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 152641680 is about 12354.8241590077. The cubic root of 152641680 is about 534.4302666413.

The spelling of 152641680 in words is "one hundred fifty-two million, six hundred forty-one thousand, six hundred eighty".