150127085952 has 384 divisors, whose sum is σ = 467133039360. Its totient is φ = 46108901376.

The previous prime is 150127085873. The next prime is 150127085959. The reversal of 150127085952 is 259580721051.

150127085952 is a `hidden beast` number, since 1 + 50 + 1 + 2 + 7 + 0 + 8 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 150127085898 and 150127085907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150127085959) 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, 247326033 + ... + 247326639.

It is an arithmetic number, because the mean of its divisors is an integer number (1216492290).

Almost surely, 2^150127085952 is an apocalyptic number.

150127085952 is a gapful number since it is divisible by the number (12) 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 150127085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233566519680).

150127085952 is an abundant number, since it is smaller than the sum of its proper divisors (317005953408).

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

150127085952 is a wasteful number, since it uses less digits than its factorization.

150127085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 150127085952 in words is "one hundred fifty billion, one hundred twenty-seven million, eighty-five thousand, nine hundred fifty-two".