150883040 has 192 divisors, whose sum is σ = 457809408. Its totient is φ = 45619200.

The previous prime is 150883037. The next prime is 150883063. The reversal of 150883040 is 40388051.

150883040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150882994 and 150883012.

It is a congruent number.

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, 455675 + ... + 456005.

It is an arithmetic number, because the mean of its divisors is an integer number (2384424).

Almost surely, 2^150883040 is an apocalyptic number.

150883040 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 150883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228904704).

150883040 is an abundant number, since it is smaller than the sum of its proper divisors (306926368).

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

150883040 is a wasteful number, since it uses less digits than its factorization.

150883040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 150883040 is about 12283.4457706297. The cubic root of 150883040 is about 532.3698786443.

It can be divided in two parts, 1508 and 83040, that added together give a palindrome (84548).

The spelling of 150883040 in words is "one hundred fifty million, eight hundred eighty-three thousand, forty".