145104353522400 has 144 divisors (see below), whose sum is σ = 500097886780464. Its totient is φ = 36418347540480.

The previous prime is 145104353522389. The next prime is 145104353522413. The reversal of 145104353522400 is 4225353401541.

It is a super-2 number, since 2×145104353522400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778198827 + ... + 1778280426.

It is an arithmetic number, because the mean of its divisors is an integer number (3472901991531).

Almost surely, 2^{145104353522400} is an apocalyptic number.

145104353522400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145104353522400 is an abundant number, since it is smaller than the sum of its proper divisors (354993533258064).

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

145104353522400 is a wasteful number, since it uses less digits than its factorization.

145104353522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556479293 (or 3556479280 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 145104353522400 in words is "one hundred forty-five trillion, one hundred four billion, three hundred fifty-three million, five hundred twenty-two thousand, four hundred".