150130982400 has 720 divisors, whose sum is σ = 585357539184. Its totient is φ = 33814609920.

The previous prime is 150130982399. The next prime is 150130982401. The reversal of 150130982400 is 4289031051.

It is an interprime number because it is at equal distance from previous prime (150130982399) and next prime (150130982401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150130982401) 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, 137356254 + ... + 137357346.

Almost surely, 2^150130982400 is an apocalyptic number.

150130982400 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 150130982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292678769592).

150130982400 is an abundant number, since it is smaller than the sum of its proper divisors (435226556784).

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

150130982400 is a wasteful number, since it uses less digits than its factorization.

150130982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 150130982400 in words is "one hundred fifty billion, one hundred thirty million, nine hundred eighty-two thousand, four hundred".