150109829856 has 360 divisors, whose sum is σ = 521396734320. Its totient is φ = 41500200960.

The previous prime is 150109829761. The next prime is 150109829869. The reversal of 150109829856 is 658928901051.

150109829856 is a `hidden beast` number, since 1 + 501 + 0 + 9 + 82 + 9 + 8 + 56 = 666.

It is a super-2 number, since 2×150109829856² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17432080 + ... + 17440688.

It is an arithmetic number, because the mean of its divisors is an integer number (1448324262).

Almost surely, 2^150109829856 is an apocalyptic number.

150109829856 is a gapful number since it is divisible by the number (16) 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 150109829856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260698367160).

150109829856 is an abundant number, since it is smaller than the sum of its proper divisors (371286904464).

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

150109829856 is an equidigital number, since it uses as much as digits as its factorization.

150109829856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 150109829856 in words is "one hundred fifty billion, one hundred nine million, eight hundred twenty-nine thousand, eight hundred fifty-six".