152838801 has 12 divisors (see below), whose sum is σ = 221312260. Its totient is φ = 101640960.

The previous prime is 152838799. The next prime is 152838817. The reversal of 152838801 is 108838251.

It can be written as a sum of positive squares in 2 ways, for example, as 135699201 + 17139600 = 11649^2 + 4140^2 .

It is not a de Polignac number, because 152838801 - 2¹ = 152838799 is a prime.

It is a super-2 number, since 2×152838801² = 46719398182235202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152838821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17080 + ... + 24441.

Almost surely, 2^152838801 is an apocalyptic number.

It is an amenable number.

152838801 is a deficient number, since it is larger than the sum of its proper divisors (68473459).

152838801 is a wasteful number, since it uses less digits than its factorization.

152838801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41936 (or 41933 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 152838801 is about 12362.7990762610. The cubic root of 152838801 is about 534.6602215541.

The spelling of 152838801 in words is "one hundred fifty-two million, eight hundred thirty-eight thousand, eight hundred one".