150242400 has 432 divisors, whose sum is σ = 662957568. Its totient is φ = 31104000.

The previous prime is 150242381. The next prime is 150242401. The reversal of 150242400 is 4242051.

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 (150242401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554265 + ... + 554535.

It is an arithmetic number, because the mean of its divisors is an integer number (1534624).

Almost surely, 2^150242400 is an apocalyptic number.

150242400 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 150242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331478784).

150242400 is an abundant number, since it is smaller than the sum of its proper divisors (512715168).

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

150242400 is a wasteful number, since it uses less digits than its factorization.

150242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150242400 is about 12257.3406577446. The cubic root of 150242400 is about 531.6153399328.

Adding to 150242400 its reverse (4242051), we get a palindrome (154484451).

It can be divided in two parts, 15024 and 2400, that added together give a square (17424 = 132²).

The spelling of 150242400 in words is "one hundred fifty million, two hundred forty-two thousand, four hundred".