147256387600 has 135 divisors (see below), whose sum is σ = 411694236471. Its totient is φ = 50469484800.

The previous prime is 147256387589. The next prime is 147256387613. The reversal of 147256387600 is 6783652741.

The square root of 147256387600 is 383740.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17518110736 + 129738276864 = 132356^2 + 360192^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53722230 + ... + 53724970.

Almost surely, 2^147256387600 is an apocalyptic number.

147256387600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147256387600 is the 383740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147256387600

147256387600 is an abundant number, since it is smaller than the sum of its proper divisors (264437848871).

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

147256387600 is an frugal number, since it uses more digits than its factorization.

147256387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 147256387600 by its sum of digits (49), we get a square (7215562992400 = 2686180²).

147256387600 divided by its sum of digits (49) gives a square (3005232400 = 54820²).

The spelling of 147256387600 in words is "one hundred forty-seven billion, two hundred fifty-six million, three hundred eighty-seven thousand, six hundred".