152884247040 has 1280 divisors, whose sum is σ = 649398435840. Its totient is φ = 33789394944.

The previous prime is 152884247003. The next prime is 152884247053. The reversal of 152884247040 is 40742488251.

152884247040 is a `hidden beast` number, since 1 + 528 + 8 + 42 + 47 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 1841978839 + ... + 1841978921.

It is an arithmetic number, because the mean of its divisors is an integer number (507342528).

Almost surely, 2^152884247040 is an apocalyptic number.

152884247040 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 152884247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324699217920).

152884247040 is an abundant number, since it is smaller than the sum of its proper divisors (496514188800).

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

152884247040 is an frugal number, since it uses more digits than its factorization.

152884247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 152884247040 in words is "one hundred fifty-two billion, eight hundred eighty-four million, two hundred forty-seven thousand, forty".