150205753620 has 720 divisors, whose sum is σ = 559496488320. Its totient is φ = 33465788928.

The previous prime is 150205753609. The next prime is 150205753661. The reversal of 150205753620 is 26357502051.

150205753620 is a `hidden beast` number, since 1 + 5 + 0 + 20 + 5 + 7 + 5 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 174860751 + ... + 174861609.

It is an arithmetic number, because the mean of its divisors is an integer number (777078456).

Almost surely, 2^150205753620 is an apocalyptic number.

150205753620 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 150205753620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279748244160).

150205753620 is an abundant number, since it is smaller than the sum of its proper divisors (409290734700).

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

150205753620 is a wasteful number, since it uses less digits than its factorization.

150205753620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 150205753620 in words is "one hundred fifty billion, two hundred five million, seven hundred fifty-three thousand, six hundred twenty".