152225837680 has 320 divisors, whose sum is σ = 440342673408. Its totient is φ = 47749201920.

The previous prime is 152225837653. The next prime is 152225837681. The reversal of 152225837680 is 86738522251.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152225837681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98654989 + ... + 98656531.

Almost surely, 2^152225837680 is an apocalyptic number.

152225837680 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 152225837680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220171336704).

152225837680 is an abundant number, since it is smaller than the sum of its proper divisors (288116835728).

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

152225837680 is a wasteful number, since it uses less digits than its factorization.

152225837680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 152225837680 in words is "one hundred fifty-two billion, two hundred twenty-five million, eight hundred thirty-seven thousand, six hundred eighty".