152801 has 8 divisors (see below), whose sum is σ = 172800. Its totient is φ = 133840.

The previous prime is 152791. The next prime is 152809. The reversal of 152801 is 108251.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 152801 - 2¹⁴ = 136417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 152801.

It is not an unprimeable number, because it can be changed into a prime (152809) 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, 80 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2¹⁵²⁸⁰¹ is an apocalyptic number.

152801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152801 is a deficient number, since it is larger than the sum of its proper divisors (19999).

152801 is a wasteful number, since it uses less digits than its factorization.

152801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 152801 is about 390.8976848230. The cubic root of 152801 is about 53.4616139473.

Adding to 152801 its product of nonzero digits (80), we get a square (152881 = 391²).

The spelling of 152801 in words is "one hundred fifty-two thousand, eight hundred one".