152461444510452 has 192 divisors, whose sum is σ = 444170571264000. Its totient is φ = 39542689105920.

The previous prime is 152461444510433. The next prime is 152461444510481. The reversal of 152461444510452 is 254015444164251.

It is a congruent number.

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, 3173016924 + ... + 3173064972.

It is an arithmetic number, because the mean of its divisors is an integer number (2313388392000).

Almost surely, 2^{152461444510452} is an apocalyptic number.

152461444510452 is a gapful number since it is divisible by the number (12) 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 152461444510452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222085285632000).

152461444510452 is an abundant number, since it is smaller than the sum of its proper divisors (291709126753548).

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

152461444510452 is a wasteful number, since it uses less digits than its factorization.

152461444510452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53006 (or 53004 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 48.

The spelling of 152461444510452 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, four hundred forty-four million, five hundred ten thousand, four hundred fifty-two".