145455234350400 has 252 divisors, whose sum is σ = 556750112308572. Its totient is φ = 35804365332480.

The previous prime is 145455234350347. The next prime is 145455234350483. The reversal of 145455234350400 is 4053432554541.

145455234350400 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 5 + 234 + 3 + 5 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12371877647424 + 133083356702976 = 3517368^2 + 11536176^2 .

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 35 ways as a sum of consecutive naturals, for example, 388315029 + ... + 388689428.

Almost surely, 2^{145455234350400} is an apocalyptic number.

145455234350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145455234350400 is an abundant number, since it is smaller than the sum of its proper divisors (411294877958172).

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

145455234350400 is a wasteful number, since it uses less digits than its factorization.

145455234350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777004498 (or 777004480 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 145455234350400 in words is "one hundred forty-five trillion, four hundred fifty-five billion, two hundred thirty-four million, three hundred fifty thousand, four hundred".