152842684401 has 75 divisors (see below), whose sum is σ = 251852582905. Its totient is φ = 92373902280.

The previous prime is 152842684327. The next prime is 152842684411. The reversal of 152842684401 is 104486248251.

The square root of 152842684401 is 390951.

It is a perfect power (a square), and thus also a powerful number.

152842684401 is a `hidden beast` number, since 1 + 528 + 4 + 2 + 6 + 84 + 40 + 1 = 666.

It is not a de Polignac number, because 152842684401 - 2¹¹ = 152842682353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152842684411) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 425745460 + ... + 425745818.

Almost surely, 2^152842684401 is an apocalyptic number.

152842684401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152842684401 is the 390951-st square number.

152842684401 is the 195476-th centered octagonal number.

It is an amenable number.

152842684401 is a deficient number, since it is larger than the sum of its proper divisors (99009898504).

152842684401 is an frugal number, since it uses more digits than its factorization.

152842684401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 152842684401 in words is "one hundred fifty-two billion, eight hundred forty-two million, six hundred eighty-four thousand, four hundred one".