145423452320400 has 240 divisors, whose sum is σ = 490585597208640. Its totient is φ = 36721480089600.

The previous prime is 145423452320387. The next prime is 145423452320417. The reversal of 145423452320400 is 4023254324541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×145423452320400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47607160 + ... + 50569640.

It is an arithmetic number, because the mean of its divisors is an integer number (2044106655036).

Almost surely, 2^{145423452320400} is an apocalyptic number.

145423452320400 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 145423452320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245292798604320).

145423452320400 is an abundant number, since it is smaller than the sum of its proper divisors (345162144888240).

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

145423452320400 is a wasteful number, since it uses less digits than its factorization.

145423452320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964674 (or 2964663 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 145423452320400 in words is "one hundred forty-five trillion, four hundred twenty-three billion, four hundred fifty-two million, three hundred twenty thousand, four hundred".