150369408 has 192 divisors, whose sum is σ = 512366400. Its totient is φ = 41416704.

The previous prime is 150369389. The next prime is 150369413. The reversal of 150369408 is 804963051.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×150369408² = 45221917724540928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233535 + ... + 234177.

It is an arithmetic number, because the mean of its divisors is an integer number (2668575).

Almost surely, 2^150369408 is an apocalyptic number.

150369408 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 150369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256183200).

150369408 is an abundant number, since it is smaller than the sum of its proper divisors (361996992).

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

150369408 is a wasteful number, since it uses less digits than its factorization.

150369408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150369408 is about 12262.5204586985. The cubic root of 150369408 is about 531.7650987760.

The spelling of 150369408 in words is "one hundred fifty million, three hundred sixty-nine thousand, four hundred eight".