15150137742432 has 144 divisors (see below), whose sum is σ = 53714124801792. Its totient is φ = 3935100706560.

The previous prime is 15150137742431. The next prime is 15150137742433. The reversal of 15150137742432 is 23424773105151.

15150137742432 is a `hidden beast` number, since 1 + 5 + 1 + 501 + 3 + 77 + 42 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (15150137742431) and next prime (15150137742433).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×15150137742432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15150137742431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341566428 + ... + 341610779.

It is an arithmetic number, because the mean of its divisors is an integer number (373014755568).

Almost surely, 2^{15150137742432} is an apocalyptic number.

15150137742432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15150137742432 is an abundant number, since it is smaller than the sum of its proper divisors (38563987059360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15150137742432 is a wasteful number, since it uses less digits than its factorization.

15150137742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683177241 (or 683177230 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 15150137742432 in words is "fifteen trillion, one hundred fifty billion, one hundred thirty-seven million, seven hundred forty-two thousand, four hundred thirty-two".