155907680 has 144 divisors (see below), whose sum is σ = 412159104. Its totient is φ = 55480320.

The previous prime is 155907671. The next prime is 155907709. The reversal of 155907680 is 86709551.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3625739 + ... + 3625781.

It is an arithmetic number, because the mean of its divisors is an integer number (2862216).

Almost surely, 2^155907680 is an apocalyptic number.

155907680 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 155907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206079552).

155907680 is an abundant number, since it is smaller than the sum of its proper divisors (256251424).

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

155907680 is a wasteful number, since it uses less digits than its factorization.

155907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 155907680 is about 12486.2996920625. The cubic root of 155907680 is about 538.2150483333.

The spelling of 155907680 in words is "one hundred fifty-five million, nine hundred seven thousand, six hundred eighty".