150735976536672 has 144 divisors (see below), whose sum is σ = 469521164679840. Its totient is φ = 45659038150656.

The previous prime is 150735976536571. The next prime is 150735976536683. The reversal of 150735976536672 is 276635679537051.

150735976536672 is a `hidden beast` number, since 1 + 50 + 7 + 3 + 5 + 97 + 65 + 366 + 72 = 666.

150735976536672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 150735976536672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530678308 + ... + 530962275.

It is an arithmetic number, because the mean of its divisors is an integer number (3260563643610).

Almost surely, 2^{150735976536672} is an apocalyptic number.

150735976536672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150735976536672 is an abundant number, since it is smaller than the sum of its proper divisors (318785188143168).

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

150735976536672 is a wasteful number, since it uses less digits than its factorization.

150735976536672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061640645 (or 1061640634 counting only the distinct ones).

The product of its (nonzero) digits is 1500282000, while the sum is 72.

The spelling of 150735976536672 in words is "one hundred fifty trillion, seven hundred thirty-five billion, nine hundred seventy-six million, five hundred thirty-six thousand, six hundred seventy-two".