151506400545 has 24 divisors (see below), whose sum is σ = 262846285416. Its totient is φ = 80731047168.

The previous prime is 151506400517. The next prime is 151506400559. The reversal of 151506400545 is 545004605151.

151506400545 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 0 + 640 + 0 + 5 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 284968161 + 151221432384 = 16881^2 + 388872^2 .

It is not a de Polignac number, because 151506400545 - 2¹² = 151506396449 is a prime.

It is a super-2 number, since 2×151506400545² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456812 + ... + 1557341.

It is an arithmetic number, because the mean of its divisors is an integer number (10951928559).

Almost surely, 2^151506400545 is an apocalyptic number.

151506400545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151506400545 is a deficient number, since it is larger than the sum of its proper divisors (111339884871).

151506400545 is a wasteful number, since it uses less digits than its factorization.

151506400545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015281 (or 3015278 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 151506400545 in words is "one hundred fifty-one billion, five hundred six million, four hundred thousand, five hundred forty-five".