147996713852100 has 729 divisors, whose sum is σ = 504331440686983. Its totient is φ = 37692076498560.

The previous prime is 147996713852033. The next prime is 147996713852101. The reversal of 147996713852100 is 1258317699741.

The square root of 147996713852100 is 12165390.

It is a perfect power (a square), and thus also a powerful number.

147996713852100 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 9 + 6 + 71 + 38 + 521 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25040196144324 + 122956517707776 = 5004018^2 + 11088576^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-2 number, since 2×147996713852100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147996713852101) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 226641215374 + ... + 226641216026.

It is a 1-persistent number, because it is pandigital, but 2⋅147996713852100 = 295993427704200 is not.

Almost surely, 2^{147996713852100} is an apocalyptic number.

147996713852100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147996713852100 is the 12165390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147996713852100

147996713852100 is an abundant number, since it is smaller than the sum of its proper divisors (356334726834883).

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

147996713852100 is an frugal number, since it uses more digits than its factorization.

147996713852100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 147996713852100 in words is "one hundred forty-seven trillion, nine hundred ninety-six billion, seven hundred thirteen million, eight hundred fifty-two thousand, one hundred".