152541782016000 has 1088 divisors, whose sum is σ = 570502864189440. Its totient is φ = 35914462003200.

The previous prime is 152541782015947. The next prime is 152541782016047. The reversal of 152541782016000 is 610287145251.

It is a happy number.

It is a super-2 number, since 2×152541782016000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7348213621 + ... + 7348234379.

Almost surely, 2^{152541782016000} is an apocalyptic number.

152541782016000 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 152541782016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285251432094720).

152541782016000 is an abundant number, since it is smaller than the sum of its proper divisors (417961082173440).

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

152541782016000 is an equidigital number, since it uses as much as digits as its factorization.

152541782016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20845 (or 20805 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 152541782016000 in words is "one hundred fifty-two trillion, five hundred forty-one billion, seven hundred eighty-two million, sixteen thousand".