150640560 has 360 divisors, whose sum is σ = 615023136. Its totient is φ = 33592320.

The previous prime is 150640543. The next prime is 150640561. The reversal of 150640560 is 65046051.

It is a happy number.

150640560 is a `hidden beast` number, since 15 + 0 + 640 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×150640560² = 45385156634227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (150640561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3674140 + ... + 3674180.

Almost surely, 2^150640560 is an apocalyptic number.

150640560 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 150640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307511568).

150640560 is an abundant number, since it is smaller than the sum of its proper divisors (464382576).

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

150640560 is an frugal number, since it uses more digits than its factorization.

150640560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150640560 is about 12273.5716073195. The cubic root of 150640560 is about 532.0845400540.

The spelling of 150640560 in words is "one hundred fifty million, six hundred forty thousand, five hundred sixty".