147212605142400 has 2304 divisors, whose sum is σ = 603125283225600. Its totient is φ = 30828194611200.

The previous prime is 147212605142389. The next prime is 147212605142413. The reversal of 147212605142400 is 4241506212741.

It is a super-2 number, since 2×147212605142400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 299822006155 + ... + 299822006645.

It is an arithmetic number, because the mean of its divisors is an integer number (261773126400).

Almost surely, 2^{147212605142400} is an apocalyptic number.

147212605142400 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 147212605142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301562641612800).

147212605142400 is an abundant number, since it is smaller than the sum of its proper divisors (455912678083200).

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

147212605142400 is a wasteful number, since it uses less digits than its factorization.

147212605142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 147212605142400 in words is "one hundred forty-seven trillion, two hundred twelve billion, six hundred five million, one hundred forty-two thousand, four hundred".