151631711145 has 48 divisors (see below), whose sum is σ = 263459471184. Its totient is φ = 80676288000.

The previous prime is 151631711083. The next prime is 151631711167. The reversal of 151631711145 is 541117136151.

151631711145 is a `hidden beast` number, since 1 + 5 + 1 + 631 + 7 + 1 + 1 + 14 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8696601 + 151623014544 = 2949^2 + 389388^2 .

It is not a de Polignac number, because 151631711145 - 2¹⁰ = 151631710121 is a prime.

It is a super-2 number, since 2×151631711145² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63682855 + ... + 63685235.

It is an arithmetic number, because the mean of its divisors is an integer number (5488738983).

Almost surely, 2^151631711145 is an apocalyptic number.

151631711145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151631711145 is a deficient number, since it is larger than the sum of its proper divisors (111827760039).

151631711145 is a wasteful number, since it uses less digits than its factorization.

151631711145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5191 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

Adding to 151631711145 its reverse (541117136151), we get a palindrome (692748847296).

The spelling of 151631711145 in words is "one hundred fifty-one billion, six hundred thirty-one million, seven hundred eleven thousand, one hundred forty-five".