152445645905280 has 1536 divisors, whose sum is σ = 625668261120000. Its totient is φ = 31281895636992.

The previous prime is 152445645905249. The next prime is 152445645905309. The reversal of 152445645905280 is 82509546544251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 6473538946 + ... + 6473562494.

It is an arithmetic number, because the mean of its divisors is an integer number (407336107500).

Almost surely, 2^{152445645905280} is an apocalyptic number.

152445645905280 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 152445645905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312834130560000).

152445645905280 is an abundant number, since it is smaller than the sum of its proper divisors (473222615214720).

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

152445645905280 is a wasteful number, since it uses less digits than its factorization.

152445645905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23744 (or 23725 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 60.

The spelling of 152445645905280 in words is "one hundred fifty-two trillion, four hundred forty-five billion, six hundred forty-five million, nine hundred five thousand, two hundred eighty".