150878880 has 144 divisors (see below), whose sum is σ = 532775880. Its totient is φ = 38836224.

The previous prime is 150878879. The next prime is 150878887. The reversal of 150878880 is 88878051.

It is a happy number.

150878880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68359824 + 82519056 = 8268^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (150878887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39954 + ... + 43566.

Almost surely, 2^150878880 is an apocalyptic number.

150878880 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 150878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266387940).

150878880 is an abundant number, since it is smaller than the sum of its proper divisors (381897000).

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

150878880 is a wasteful number, since it uses less digits than its factorization.

150878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 150878880 is about 12283.2764358700. The cubic root of 150878880 is about 532.3649859384.

The spelling of 150878880 in words is "one hundred fifty million, eight hundred seventy-eight thousand, eight hundred eighty".