152474147280 has 1600 divisors, whose sum is σ = 709821235200. Its totient is φ = 29426872320.

The previous prime is 152474147269. The next prime is 152474147291. The reversal of 152474147280 is 82741474251.

152474147280 is a `hidden beast` number, since 1 + 52 + 47 + 414 + 72 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (152474147269) and next prime (152474147291).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 347321301 + ... + 347321739.

It is an arithmetic number, because the mean of its divisors is an integer number (443638272).

Almost surely, 2^152474147280 is an apocalyptic number.

152474147280 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 152474147280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354910617600).

152474147280 is an abundant number, since it is smaller than the sum of its proper divisors (557347087920).

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

152474147280 is a wasteful number, since it uses less digits than its factorization.

152474147280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 152474147280 in words is "one hundred fifty-two billion, four hundred seventy-four million, one hundred forty-seven thousand, two hundred eighty".