152210242544100 has 288 divisors, whose sum is σ = 486429849663744. Its totient is φ = 36508857753600.

The previous prime is 152210242544053. The next prime is 152210242544111. The reversal of 152210242544100 is 1445242012251.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131019384 + ... + 132176016.

Almost surely, 2^{152210242544100} is an apocalyptic number.

152210242544100 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 152210242544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243214924831872).

152210242544100 is an abundant number, since it is smaller than the sum of its proper divisors (334219607119644).

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

152210242544100 is a wasteful number, since it uses less digits than its factorization.

152210242544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157527 (or 1157520 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 152210242544100 its reverse (1445242012251), we get a palindrome (153655484556351).

The spelling of 152210242544100 in words is "one hundred fifty-two trillion, two hundred ten billion, two hundred forty-two million, five hundred forty-four thousand, one hundred".