150405552 has 160 divisors (see below), whose sum is σ = 486635520. Its totient is φ = 44064000.

The previous prime is 150405523. The next prime is 150405557. The reversal of 150405552 is 255504051.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (150405557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146802 + ... + 147822.

It is an arithmetic number, because the mean of its divisors is an integer number (3041472).

Almost surely, 2^150405552 is an apocalyptic number.

150405552 is a gapful number since it is divisible by the number (12) 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 150405552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

150405552 is an abundant number, since it is smaller than the sum of its proper divisors (336229968).

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

150405552 is a wasteful number, since it uses less digits than its factorization.

150405552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 150405552 is about 12263.9941291571. The cubic root of 150405552 is about 531.8077018077.

The spelling of 150405552 in words is "one hundred fifty million, four hundred five thousand, five hundred fifty-two".