150951840 has 192 divisors, whose sum is σ = 542578176. Its totient is φ = 34947072.

The previous prime is 150951817. The next prime is 150951847. The reversal of 150951840 is 48159051.

150951840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150951847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105369 + ... + 106791.

It is an arithmetic number, because the mean of its divisors is an integer number (2825928).

Almost surely, 2^150951840 is an apocalyptic number.

150951840 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 150951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271289088).

150951840 is an abundant number, since it is smaller than the sum of its proper divisors (391626336).

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

150951840 is a wasteful number, since it uses less digits than its factorization.

150951840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 150951840 is about 12286.2459685618. The cubic root of 150951840 is about 532.4507834343.

The spelling of 150951840 in words is "one hundred fifty million, nine hundred fifty-one thousand, eight hundred forty".