1545745158400 has 81 divisors (see below), whose sum is σ = 3826206990543. Its totient is φ = 618258278400.

The previous prime is 1545745158367. The next prime is 1545745158439. The reversal of 1545745158400 is 48515475451.

It is a happy number.

The square root of 1545745158400 is 1243280.

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 37996925184 + 1507748233216 = 194928^2 + 1227904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99454630 + ... + 99470170.

Almost surely, 2^{1545745158400} is an apocalyptic number.

1545745158400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1545745158400 is the 1243280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1545745158400

1545745158400 is an abundant number, since it is smaller than the sum of its proper divisors (2280461832143).

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

1545745158400 is an frugal number, since it uses more digits than its factorization.

1545745158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31108 (or 15548 counting only the distinct ones).

The product of its (nonzero) digits is 2240000, while the sum is 49.

Multiplying 1545745158400 by its sum of digits (49), we get a square (75741512761600 = 8702960²).

The spelling of 1545745158400 in words is "one trillion, five hundred forty-five billion, seven hundred forty-five million, one hundred fifty-eight thousand, four hundred".