151415152641 has 9 divisors (see below), whose sum is σ = 218712462241. Its totient is φ = 100942656852.

The previous prime is 151415152619. The next prime is 151415152649. The reversal of 151415152641 is 146251514151.

The square root of 151415152641 is 389121.

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

151415152641 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 1 + 5 + 1 + 5 + 2 + 641 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 151415152641 - 2⁹ = 151415152129 is a prime.

It is a super-3 number, since 3×151415152641³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 151415152596 and 151415152605.

It is not an unprimeable number, because it can be changed into a prime (151415152649) 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, 1102510 + ... + 1232216.

Almost surely, 2^151415152641 is an apocalyptic number.

151415152641 is the 389121-st square number.

151415152641 is the 194561-st centered octagonal number.

It is an amenable number.

151415152641 is a deficient number, since it is larger than the sum of its proper divisors (67297309600).

151415152641 is an frugal number, since it uses more digits than its factorization.

151415152641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259420 (or 129710 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

Multiplying 151415152641 by its sum of digits (36), we get a square (5450945495076 = 2334726²).

Adding to 151415152641 its reverse (146251514151), we get a palindrome (297666666792).

The spelling of 151415152641 in words is "one hundred fifty-one billion, four hundred fifteen million, one hundred fifty-two thousand, six hundred forty-one".