152233351280640 has 1440 divisors, whose sum is σ = 617299040882160. Its totient is φ = 34695292649472.

The previous prime is 152233351280587. The next prime is 152233351280671. The reversal of 152233351280640 is 46082153332251.

152233351280640 is a `hidden beast` number, since 1 + 5 + 2 + 23 + 33 + 512 + 80 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 98025338104 + ... + 98025339656.

Almost surely, 2^{152233351280640} is an apocalyptic number.

152233351280640 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 152233351280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308649520441080).

152233351280640 is an abundant number, since it is smaller than the sum of its proper divisors (465065689601520).

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

152233351280640 is an equidigital number, since it uses as much as digits as its factorization.

152233351280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 152233351280640 in words is "one hundred fifty-two trillion, two hundred thirty-three billion, three hundred fifty-one million, two hundred eighty thousand, six hundred forty".