145456312172400 has 720 divisors, whose sum is σ = 556889602284288. Its totient is φ = 36333577728000.

The previous prime is 145456312172393. The next prime is 145456312172461. The reversal of 145456312172400 is 4271213654541.

It is a happy number.

145456312172400 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 63 + 12 + 172 + 400 = 666.

145456312172400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 348447805 + ... + 348864995.

Almost surely, 2^{145456312172400} is an apocalyptic number.

145456312172400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145456312172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278444801142144).

145456312172400 is an abundant number, since it is smaller than the sum of its proper divisors (411433290111888).

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

145456312172400 is a wasteful number, since it uses less digits than its factorization.

145456312172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417452 (or 417429 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 145456312172400 in words is "one hundred forty-five trillion, four hundred fifty-six billion, three hundred twelve million, one hundred seventy-two thousand, four hundred".