150368400 has 720 divisors, whose sum is σ = 705204864. Its totient is φ = 29859840.

The previous prime is 150368357. The next prime is 150368419. The reversal of 150368400 is 4863051.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×150368400² = 45221311437120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8845192 + ... + 8845208.

Almost surely, 2^150368400 is an apocalyptic number.

150368400 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 150368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352602432).

150368400 is an abundant number, since it is smaller than the sum of its proper divisors (554836464).

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

150368400 is a wasteful number, since it uses less digits than its factorization.

150368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150368400 is about 12262.4793577808. The cubic root of 150368400 is about 531.7639105458.

It can be divided in two parts, 15036 and 8400, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 150368400 in words is "one hundred fifty million, three hundred sixty-eight thousand, four hundred".