152601953449 has 27 divisors (see below), whose sum is σ = 178268595141. Its totient is φ = 130506013440.

The previous prime is 152601953423. The next prime is 152601953453. The reversal of 152601953449 is 944359106251.

The square root of 152601953449 is 390643.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67706642025 + 84895311424 = 260205^2 + 291368^2 .

It is not a de Polignac number, because 152601953449 - 2⁵ = 152601953417 is a prime.

It is a super-3 number, since 3×152601953449³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152601953249) 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, 73049197 + ... + 73051285.

Almost surely, 2^152601953449 is an apocalyptic number.

152601953449 is the 390643-rd square number.

152601953449 is the 195322-nd centered octagonal number.

It is an amenable number.

152601953449 is a deficient number, since it is larger than the sum of its proper divisors (25666641692).

152601953449 is an frugal number, since it uses more digits than its factorization.

152601953449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 152601953449 by its sum of digits (49), we get a square (7477495719001 = 2734501²).

The spelling of 152601953449 in words is "one hundred fifty-two billion, six hundred one million, nine hundred fifty-three thousand, four hundred forty-nine".