150032064 has 224 divisors, whose sum is σ = 506146816. Its totient is φ = 38154240.

The previous prime is 150032041. The next prime is 150032087. The reversal of 150032064 is 460230051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150032041) and next prime (150032087).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 150032064.

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, 541494 + ... + 541770.

It is an arithmetic number, because the mean of its divisors is an integer number (2259584).

Almost surely, 2^150032064 is an apocalyptic number.

150032064 is a gapful number since it is divisible by the number (14) 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 150032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253073408).

150032064 is an abundant number, since it is smaller than the sum of its proper divisors (356114752).

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

150032064 is a wasteful number, since it uses less digits than its factorization.

150032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 150032064 is about 12248.7576512886. The cubic root of 150032064 is about 531.3671408767.

The spelling of 150032064 in words is "one hundred fifty million, thirty-two thousand, sixty-four".