152045274150 has 960 divisors, whose sum is σ = 564169605120. Its totient is φ = 29407276800.

The previous prime is 152045274149. The next prime is 152045274167. The reversal of 152045274150 is 51472540251.

152045274150 is a `hidden beast` number, since 1 + 52 + 0 + 452 + 7 + 4 + 150 = 666.

It is a super-3 number, since 3×152045274150³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 396984859 + ... + 396985241.

It is an arithmetic number, because the mean of its divisors is an integer number (587676672).

Almost surely, 2^152045274150 is an apocalyptic number.

152045274150 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 152045274150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282084802560).

152045274150 is an abundant number, since it is smaller than the sum of its proper divisors (412124330970).

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

152045274150 is a wasteful number, since it uses less digits than its factorization.

152045274150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 152045274150 in words is "one hundred fifty-two billion, forty-five million, two hundred seventy-four thousand, one hundred fifty".