150020470800 has 360 divisors, whose sum is σ = 525995377544. Its totient is φ = 39594147840.

The previous prime is 150020470757. The next prime is 150020470811. The reversal of 150020470800 is 8074020051.

It can be written as a sum of positive squares in 12 ways, for example, as 133009007616 + 17011463184 = 364704^2 + 130428^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×150020470800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244731294 + ... + 244731906.

Almost surely, 2^150020470800 is an apocalyptic number.

150020470800 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 150020470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262997688772).

150020470800 is an abundant number, since it is smaller than the sum of its proper divisors (375974906744).

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

150020470800 is a wasteful number, since it uses less digits than its factorization.

150020470800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 150020470800 its reverse (8074020051), we get a palindrome (158094490851).

The spelling of 150020470800 in words is "one hundred fifty billion, twenty million, four hundred seventy thousand, eight hundred".