153041641 has 9 divisors (see below), whose sum is σ = 155902071. Its totient is φ = 150233424.

The previous prime is 153041627. The next prime is 153041659. The reversal of 153041641 is 146140351.

The square root of 153041641 is 12371.

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., 29387241 + 123654400 = 5421^2 + 11120^2 .

It is not a de Polignac number, because 153041641 - 2⁹ = 153041129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153041611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1100950 + ... + 1101088.

Almost surely, 2^153041641 is an apocalyptic number.

153041641 is the 12371-st square number.

153041641 is the 6186-th centered octagonal number.

It is an amenable number.

153041641 is a deficient number, since it is larger than the sum of its proper divisors (2860430).

153041641 is an frugal number, since it uses more digits than its factorization.

153041641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 153041641 is about 534.8966417504.

Multiplying 153041641 by its sum of digits (25), we get a square (3826041025 = 61855²).

Adding to 153041641 its reverse (146140351), we get a palindrome (299181992).

The spelling of 153041641 in words is "one hundred fifty-three million, forty-one thousand, six hundred forty-one".