150950798400 has 168 divisors, whose sum is σ = 501514587520. Its totient is φ = 39743907840.

The previous prime is 150950798389. The next prime is 150950798407. The reversal of 150950798400 is 4897059051.

It is a super-2 number, since 2×150950798400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150950798400.

It is not an unprimeable number, because it can be changed into a prime (150950798407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180162 + ... + 578238.

Almost surely, 2^150950798400 is an apocalyptic number.

150950798400 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 150950798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250757293760).

150950798400 is an abundant number, since it is smaller than the sum of its proper divisors (350563789120).

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

150950798400 is a wasteful number, since it uses less digits than its factorization.

150950798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398181 (or 398166 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 150950798400 in words is "one hundred fifty billion, nine hundred fifty million, seven hundred ninety-eight thousand, four hundred".