151933121793 has 90 divisors (see below), whose sum is σ = 238195642146. Its totient is φ = 96491699712.

The previous prime is 151933121789. The next prime is 151933121801. The reversal of 151933121793 is 397121339151.

151933121793 is a `hidden beast` number, since 1 + 5 + 19 + 331 + 217 + 93 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5096246544 + 146836875249 = 71388^2 + 383193^2 .

It is not a de Polignac number, because 151933121793 - 2² = 151933121789 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151933121713) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1109000821 + ... + 1109000957.

Almost surely, 2^151933121793 is an apocalyptic number.

It is an amenable number.

151933121793 is a deficient number, since it is larger than the sum of its proper divisors (86262520353).

151933121793 is an frugal number, since it uses more digits than its factorization.

151933121793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 250 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The spelling of 151933121793 in words is "one hundred fifty-one billion, nine hundred thirty-three million, one hundred twenty-one thousand, seven hundred ninety-three".