150905393310 has 128 divisors (see below), whose sum is σ = 417197952000. Its totient is φ = 34219745280.

The previous prime is 150905393281. The next prime is 150905393321. The reversal of 150905393310 is 13393509051.

It is a super-2 number, since 2×150905393310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16873440 + ... + 16882380.

It is an arithmetic number, because the mean of its divisors is an integer number (3259359000).

Almost surely, 2^150905393310 is an apocalyptic number.

150905393310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150905393310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208598976000).

150905393310 is an abundant number, since it is smaller than the sum of its proper divisors (266292558690).

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

150905393310 is a wasteful number, since it uses less digits than its factorization.

150905393310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586.

The product of its (nonzero) digits is 54675, while the sum is 39.

The spelling of 150905393310 in words is "one hundred fifty billion, nine hundred five million, three hundred ninety-three thousand, three hundred ten".