145778876100 has 729 divisors, whose sum is σ = 550037815509. Its totient is φ = 32255308800.

The previous prime is 145778876071. The next prime is 145778876141. The reversal of 145778876100 is 1678877541.

The square root of 145778876100 is 381810.

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

145778876100 is a `hidden beast` number, since 1 + 4 + 577 + 8 + 8 + 7 + 61 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 144873106884 + 905769216 = 380622^2 + 30096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1637964856 + ... + 1637964944.

Almost surely, 2^145778876100 is an apocalyptic number.

145778876100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145778876100 is the 381810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145778876100

145778876100 is an abundant number, since it is smaller than the sum of its proper divisors (404258939409).

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

145778876100 is a wasteful number, since it uses less digits than its factorization.

145778876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 145778876100 in words is "one hundred forty-five billion, seven hundred seventy-eight million, eight hundred seventy-six thousand, one hundred".