145239857402500 has 225 divisors, whose sum is σ = 370598900052227. Its totient is φ = 49786399236000.

The previous prime is 145239857402461. The next prime is 145239857402513. The reversal of 145239857402500 is 5204758932541.

It is a happy number.

The square root of 145239857402500 is 12051550.

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

It can be written as a sum of positive squares in 2 ways, for example, as 11386804820356 + 133853052582144 = 3374434^2 + 11569488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 29526295041 + ... + 29526299959.

Almost surely, 2^{145239857402500} is an apocalyptic number.

145239857402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145239857402500 is the 12051550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145239857402500

145239857402500 is an abundant number, since it is smaller than the sum of its proper divisors (225359042649727).

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

145239857402500 is an frugal number, since it uses more digits than its factorization.

145239857402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 145239857402500 in words is "one hundred forty-five trillion, two hundred thirty-nine billion, eight hundred fifty-seven million, four hundred two thousand, five hundred".