152131219200 has 486 divisors, whose sum is σ = 564950002344. Its totient is φ = 40557127680.

The previous prime is 152131219189. The next prime is 152131219211. The reversal of 152131219200 is 2912131251.

152131219200 is a `hidden beast` number, since 1 + 521 + 31 + 21 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152131219189) and next prime (152131219211).

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41988589 + ... + 41992211.

Almost surely, 2^152131219200 is an apocalyptic number.

152131219200 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 152131219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282475001172).

152131219200 is an abundant number, since it is smaller than the sum of its proper divisors (412818783144).

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

152131219200 is an frugal number, since it uses more digits than its factorization.

152131219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 152131219200 in words is "one hundred fifty-two billion, one hundred thirty-one million, two hundred nineteen thousand, two hundred".