150014970 has 384 divisors, whose sum is σ = 531878400. Its totient is φ = 29804544.

The previous prime is 150014951. The next prime is 150015017. The reversal of 150014970 is 79410051.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5172916 + ... + 5172944.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2^150014970 is an apocalyptic number.

150014970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150014970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

150014970 is an abundant number, since it is smaller than the sum of its proper divisors (381863430).

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

150014970 is a wasteful number, since it uses less digits than its factorization.

150014970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 150014970 is about 12248.0598463593. The cubic root of 150014970 is about 531.3469595575.

The spelling of 150014970 in words is "one hundred fifty million, fourteen thousand, nine hundred seventy".