152742672000 has 640 divisors, whose sum is σ = 597244190400. Its totient is φ = 38581401600.

The previous prime is 152742671999. The next prime is 152742672001. The reversal of 152742672000 is 276247251.

It is a happy number.

152742672000 is a `hidden beast` number, since 1 + 5 + 27 + 426 + 7 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152742671999) and next prime (152742672001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152742672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24620899 + ... + 24627101.

Almost surely, 2^152742672000 is an apocalyptic number.

152742672000 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 152742672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298622095200).

152742672000 is an abundant number, since it is smaller than the sum of its proper divisors (444501518400).

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

152742672000 is an equidigital number, since it uses as much as digits as its factorization.

152742672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 152742672000 in words is "one hundred fifty-two billion, seven hundred forty-two million, six hundred seventy-two thousand".