150917040 has 160 divisors (see below), whose sum is σ = 525412800. Its totient is φ = 39813120.

The previous prime is 150917029. The next prime is 150917071. The reversal of 150917040 is 40719051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150916995 and 150917013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235120 + ... + 235760.

It is an arithmetic number, because the mean of its divisors is an integer number (3283830).

Almost surely, 2^150917040 is an apocalyptic number.

150917040 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 150917040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262706400).

150917040 is an abundant number, since it is smaller than the sum of its proper divisors (374495760).

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

150917040 is a wasteful number, since it uses less digits than its factorization.

150917040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 150917040 is about 12284.8296691489. The cubic root of 150917040 is about 532.4098637358.

The spelling of 150917040 in words is "one hundred fifty million, nine hundred seventeen thousand, forty".