150935222340 has 768 divisors, whose sum is σ = 573210624000. Its totient is φ = 32920473600.

The previous prime is 150935222293. The next prime is 150935222363. The reversal of 150935222340 is 43222539051.

150935222340 is a `hidden beast` number, since 1 + 5 + 0 + 93 + 5 + 222 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 150935222295 and 150935222304.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 556956405 + ... + 556956675.

It is an arithmetic number, because the mean of its divisors is an integer number (746368000).

Almost surely, 2^150935222340 is an apocalyptic number.

150935222340 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 150935222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286605312000).

150935222340 is an abundant number, since it is smaller than the sum of its proper divisors (422275401660).

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

150935222340 is a wasteful number, since it uses less digits than its factorization.

150935222340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 150935222340 in words is "one hundred fifty billion, nine hundred thirty-five million, two hundred twenty-two thousand, three hundred forty".