145624938291 has 32 divisors (see below), whose sum is σ = 253224558080. Its totient is φ = 80965212768.

The previous prime is 145624938281. The next prime is 145624938383. The reversal of 145624938291 is 192839426541.

It is a happy number.

145624938291 is a `hidden beast` number, since 1 + 4 + 5 + 62 + 493 + 8 + 2 + 91 = 666.

It is not a de Polignac number, because 145624938291 - 2⁹ = 145624937779 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145624938241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10405201 + ... + 10419186.

It is an arithmetic number, because the mean of its divisors is an integer number (7913267440).

Almost surely, 2^145624938291 is an apocalyptic number.

145624938291 is a deficient number, since it is larger than the sum of its proper divisors (107599619789).

145624938291 is a wasteful number, since it uses less digits than its factorization.

145624938291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20824440 (or 20824434 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 145624938291 in words is "one hundred forty-five billion, six hundred twenty-four million, nine hundred thirty-eight thousand, two hundred ninety-one".