150456540 has 96 divisors (see below), whose sum is σ = 460615680. Its totient is φ = 36470016.

The previous prime is 150456521. The next prime is 150456563. The reversal of 150456540 is 45654051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150456498 and 150456507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50821 + ... + 53699.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2^150456540 is an apocalyptic number.

150456540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150456540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

150456540 is an abundant number, since it is smaller than the sum of its proper divisors (310159140).

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

150456540 is a wasteful number, since it uses less digits than its factorization.

150456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 150456540 is about 12266.0727211280. The cubic root of 150456540 is about 531.8677898989.

The spelling of 150456540 in words is "one hundred fifty million, four hundred fifty-six thousand, five hundred forty".