150456034827920 has 80 divisors (see below), whose sum is σ = 362078394451968. Its totient is φ = 58082350440960.

The previous prime is 150456034827899. The next prime is 150456034827947. The reversal of 150456034827920 is 29728430654051.

150456034827920 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 (80).

It is a super-2 number, since 2×150456034827920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81743459 + ... + 83563778.

It is a 1-persistent number, because it is pandigital, but 2⋅150456034827920 = 300912069655840 is not.

Almost surely, 2^{150456034827920} is an apocalyptic number.

150456034827920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150456034827920 is an abundant number, since it is smaller than the sum of its proper divisors (211622359624048).

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

150456034827920 is a wasteful number, since it uses less digits than its factorization.

150456034827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165307648 (or 165307642 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 150456034827920 in words is "one hundred fifty trillion, four hundred fifty-six billion, thirty-four million, eight hundred twenty-seven thousand, nine hundred twenty".