152354833104100 has 225 divisors, whose sum is σ = 367305415758925. Its totient is φ = 54853225240000.

The previous prime is 152354833104083. The next prime is 152354833104157. The reversal of 152354833104100 is 1401338453251.

The square root of 152354833104100 is 12343210.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8951142487716 + 143403690616384 = 2991846^2 + 11975128^2 .

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, 1508463694050 + ... + 1508463694150.

Almost surely, 2^{152354833104100} is an apocalyptic number.

152354833104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152354833104100 is the 12343210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152354833104100

152354833104100 is an abundant number, since it is smaller than the sum of its proper divisors (214950582654825).

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

152354833104100 is an frugal number, since it uses more digits than its factorization.

152354833104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 152354833104100 in words is "one hundred fifty-two trillion, three hundred fifty-four billion, eight hundred thirty-three million, one hundred four thousand, one hundred".