150405065030200 has 192 divisors, whose sum is σ = 359629132262400. Its totient is φ = 58471704000000.

The previous prime is 150405065030191. The next prime is 150405065030203. The reversal of 150405065030200 is 2030560504051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150405065030203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776183325 + ... + 776377075.

It is an arithmetic number, because the mean of its divisors is an integer number (1873068397200).

Almost surely, 2^{150405065030200} is an apocalyptic number.

150405065030200 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 150405065030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179814566131200).

150405065030200 is an abundant number, since it is smaller than the sum of its proper divisors (209224067232200).

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

150405065030200 is a wasteful number, since it uses less digits than its factorization.

150405065030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194390 (or 194381 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 150405065030200 in words is "one hundred fifty trillion, four hundred five billion, sixty-five million, thirty thousand, two hundred".