150602400 has 216 divisors, whose sum is σ = 572268060. Its totient is φ = 37048320.

The previous prime is 150602369. The next prime is 150602401. The reversal of 150602400 is 4206051.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 72386064 + 78216336 = 8508^2 + 8844^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150602401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92796 + ... + 94404.

Almost surely, 2^150602400 is an apocalyptic number.

150602400 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 150602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286134030).

150602400 is an abundant number, since it is smaller than the sum of its proper divisors (421665660).

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

150602400 is a wasteful number, since it uses less digits than its factorization.

150602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150602400 is about 12272.0169491408. The cubic root of 150602400 is about 532.0396073551.

Adding to 150602400 its reverse (4206051), we get a palindrome (154808451).

The spelling of 150602400 in words is "one hundred fifty million, six hundred two thousand, four hundred".