150525000 has 192 divisors, whose sum is σ = 524966400. Its totient is φ = 39960000.

The previous prime is 150524977. The next prime is 150525007. The reversal of 150525000 is 525051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150525007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674889 + ... + 675111.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^150525000 is an apocalyptic number.

150525000 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 150525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

150525000 is an abundant number, since it is smaller than the sum of its proper divisors (374441400).

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

150525000 is an equidigital number, since it uses as much as digits as its factorization.

150525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 150525000 is about 12268.8630280071. The cubic root of 150525000 is about 531.9484469614.

The spelling of 150525000 in words is "one hundred fifty million, five hundred twenty-five thousand".