150953880 has 384 divisors, whose sum is σ = 617725440. Its totient is φ = 28569600.

The previous prime is 150953867. The next prime is 150953927. The reversal of 150953880 is 88359051.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4869465 + ... + 4869495.

It is an arithmetic number, because the mean of its divisors is an integer number (1608660).

Almost surely, 2^150953880 is an apocalyptic number.

150953880 is a gapful number since it is divisible by the number (10) 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 150953880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308862720).

150953880 is an abundant number, since it is smaller than the sum of its proper divisors (466771560).

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

150953880 is a wasteful number, since it uses less digits than its factorization.

150953880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 150953880 is about 12286.3289879443. The cubic root of 150953880 is about 532.4531819801.

The spelling of 150953880 in words is "one hundred fifty million, nine hundred fifty-three thousand, eight hundred eighty".