150628680 has 128 divisors (see below), whose sum is σ = 505238400. Its totient is φ = 39916800.

The previous prime is 150628657. The next prime is 150628727. The reversal of 150628680 is 86826051.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227550 + ... + 228210.

It is an arithmetic number, because the mean of its divisors is an integer number (3947175).

Almost surely, 2^150628680 is an apocalyptic number.

150628680 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 150628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252619200).

150628680 is an abundant number, since it is smaller than the sum of its proper divisors (354609720).

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

150628680 is a wasteful number, since it uses less digits than its factorization.

150628680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 150628680 is about 12273.0876310731. The cubic root of 150628680 is about 532.0705523858.

The spelling of 150628680 in words is "one hundred fifty million, six hundred twenty-eight thousand, six hundred eighty".