147210155198400 has 1008 divisors, whose sum is σ = 577351568822112. Its totient is φ = 32719196160000.

The previous prime is 147210155198387. The next prime is 147210155198413. The reversal of 147210155198400 is 4891551012741.

It is an interprime number because it is at equal distance from previous prime (147210155198387) and next prime (147210155198413).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 147210155198400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18631834450 + ... + 18631842350.

It is an arithmetic number, because the mean of its divisors is an integer number (572769413514).

Almost surely, 2^{147210155198400} is an apocalyptic number.

147210155198400 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 147210155198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288675784411056).

147210155198400 is an abundant number, since it is smaller than the sum of its proper divisors (430141413623712).

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

147210155198400 is a wasteful number, since it uses less digits than its factorization.

147210155198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 147210155198400 in words is "one hundred forty-seven trillion, two hundred ten billion, one hundred fifty-five million, one hundred ninety-eight thousand, four hundred".