155977967078304 has 48 divisors (see below), whose sum is σ = 467933901236928. Its totient is φ = 44565133450752.

The previous prime is 155977967078293. The next prime is 155977967078309. The reversal of 155977967078304 is 403870769779551.

155977967078304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 155977967078304.

It is not an unprimeable number, because it can be changed into a prime (155977967078309) 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, 116055034357 + ... + 116055035700.

It is an arithmetic number, because the mean of its divisors is an integer number (9748622942436).

Almost surely, 2^{155977967078304} is an apocalyptic number.

155977967078304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

155977967078304 is an abundant number, since it is smaller than the sum of its proper divisors (311955934158624).

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

155977967078304 is a wasteful number, since it uses less digits than its factorization.

155977967078304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232110070077 (or 232110070069 counting only the distinct ones).

The product of its (nonzero) digits is 2800526400, while the sum is 78.

The spelling of 155977967078304 in words is "one hundred fifty-five trillion, nine hundred seventy-seven billion, nine hundred sixty-seven million, seventy-eight thousand, three hundred four".