145760709459600 has 225 divisors, whose sum is σ = 523131288835243. Its totient is φ = 38868943011840.

The previous prime is 145760709459559. The next prime is 145760709459623. The reversal of 145760709459600 is 6954907067541.

The square root of 145760709459600 is 12073140.

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

145760709459600 is a `hidden beast` number, since 1 + 4 + 57 + 6 + 0 + 70 + 9 + 459 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21661465939344 + 124099243520256 = 4654188^2 + 11139984^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2173131664 + ... + 2173198736.

Almost surely, 2^{145760709459600} is an apocalyptic number.

145760709459600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145760709459600 is the 12073140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145760709459600

145760709459600 is an abundant number, since it is smaller than the sum of its proper divisors (377370579375643).

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

145760709459600 is an frugal number, since it uses more digits than its factorization.

145760709459600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134176 (or 67083 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 145760709459600 in words is "one hundred forty-five trillion, seven hundred sixty billion, seven hundred nine million, four hundred fifty-nine thousand, six hundred".