150974208 has 432 divisors, whose sum is σ = 581607936. Its totient is φ = 36495360.

The previous prime is 150974189. The next prime is 150974221. The reversal of 150974208 is 802479051.

It is a super-2 number, since 2×150974208² = 45586422962454528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080366 + ... + 4080402.

Almost surely, 2^150974208 is an apocalyptic number.

150974208 is a gapful number since it is divisible by the number (18) 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 150974208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290803968).

150974208 is an abundant number, since it is smaller than the sum of its proper divisors (430633728).

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

150974208 is a wasteful number, since it uses less digits than its factorization.

150974208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150974208 is about 12287.1562210302. The cubic root of 150974208 is about 532.4770816031.

The spelling of 150974208 in words is "one hundred fifty million, nine hundred seventy-four thousand, two hundred eight".