150276480 has 256 divisors, whose sum is σ = 518192640. Its totient is φ = 36945920.

The previous prime is 150276479. The next prime is 150276509. The reversal of 150276480 is 84672051.

150276480 = T₁₃₇ + T₁₃₈ + ... + T₉₆₆.

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, 1810519 + ... + 1810601.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^150276480 is an apocalyptic number.

150276480 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 150276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

150276480 is an abundant number, since it is smaller than the sum of its proper divisors (367916160).

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

150276480 is a wasteful number, since it uses less digits than its factorization.

150276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 150276480 is about 12258.7307662743. The cubic root of 150276480 is about 531.6555329388.

The spelling of 150276480 in words is "one hundred fifty million, two hundred seventy-six thousand, four hundred eighty".