150806880 has 192 divisors, whose sum is σ = 603348480. Its totient is φ = 34463232.

The previous prime is 150806863. The next prime is 150806917. The reversal of 150806880 is 88608051.

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

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, 27747 + ... + 32733.

It is an arithmetic number, because the mean of its divisors is an integer number (3142440).

Almost surely, 2^150806880 is an apocalyptic number.

150806880 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 150806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301674240).

150806880 is an abundant number, since it is smaller than the sum of its proper divisors (452541600).

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

150806880 is a wasteful number, since it uses less digits than its factorization.

150806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 150806880 is about 12280.3452720190. The cubic root of 150806880 is about 532.2802902369.

The spelling of 150806880 in words is "one hundred fifty million, eight hundred six thousand, eight hundred eighty".