150877440 has 216 divisors, whose sum is σ = 596913408. Its totient is φ = 34467840.

The previous prime is 150877409. The next prime is 150877451. The reversal of 150877440 is 44778051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150877395 and 150877404.

It is a congruent number.

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, 79705 + ... + 81575.

It is an arithmetic number, because the mean of its divisors is an integer number (2763488).

Almost surely, 2^150877440 is an apocalyptic number.

150877440 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 150877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298456704).

150877440 is an abundant number, since it is smaller than the sum of its proper divisors (446035968).

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

150877440 is a wasteful number, since it uses less digits than its factorization.

150877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 150877440 is about 12283.2178194478. The cubic root of 150877440 is about 532.3632922884.

The spelling of 150877440 in words is "one hundred fifty million, eight hundred seventy-seven thousand, four hundred forty".