151407413971984 has 15 divisors (see below), whose sum is σ = 293351959932733. Its totient is φ = 75703682376448.

The previous prime is 151407413971969. The next prime is 151407413972041. The reversal of 151407413971984 is 489179314704151.

The square root of 151407413971984 is 12304772.

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., 48509274819600 + 102898139152384 = 6964860^2 + 10143872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 47680992 + ... + 50757184.

Almost surely, 2^{151407413971984} is an apocalyptic number.

151407413971984 is the 12304772-nd square number.

It is an amenable number.

151407413971984 is a deficient number, since it is larger than the sum of its proper divisors (141944545960749).

151407413971984 is an frugal number, since it uses more digits than its factorization.

151407413971984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152394 (or 3076195 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 64.

The spelling of 151407413971984 in words is "one hundred fifty-one trillion, four hundred seven billion, four hundred thirteen million, nine hundred seventy-one thousand, nine hundred eighty-four".