153294957841 has 27 divisors (see below), whose sum is σ = 166249356091. Its totient is φ = 141332572304.

The previous prime is 153294957839. The next prime is 153294957869. The reversal of 153294957841 is 148759492351.

The square root of 153294957841 is 391529.

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

It can be written as a sum of positive squares in only one way, i.e., 80384157441 + 72910800400 = 283521^2 + 270020^2 .

It is not a de Polignac number, because 153294957841 - 2¹ = 153294957839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153294957341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261149550 + ... + 261150136.

Almost surely, 2^153294957841 is an apocalyptic number.

153294957841 is the 391529-th square number.

153294957841 is the 195765-th centered octagonal number.

It is an amenable number.

153294957841 is a deficient number, since it is larger than the sum of its proper divisors (12954398250).

153294957841 is an frugal number, since it uses more digits than its factorization.

153294957841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 639 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 58.

The spelling of 153294957841 in words is "one hundred fifty-three billion, two hundred ninety-four million, nine hundred fifty-seven thousand, eight hundred forty-one".