145877400374400 has 288 divisors, whose sum is σ = 521151973910100. Its totient is φ = 38853708963840.

The previous prime is 145877400374369. The next prime is 145877400374471. The reversal of 145877400374400 is 4473004778541.

It is a happy number.

145877400374400 is a `hidden beast` number, since 14 + 58 + 77 + 40 + 0 + 3 + 74 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38411336545344 + 107466063829056 = 6197688^2 + 10366584^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 20820202 + ... + 26930198.

Almost surely, 2^{145877400374400} is an apocalyptic number.

145877400374400 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 145877400374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260575986955050).

145877400374400 is an abundant number, since it is smaller than the sum of its proper divisors (375274573535700).

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

145877400374400 is a wasteful number, since it uses less digits than its factorization.

145877400374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110856 (or 6110836 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 145877400374400 in words is "one hundred forty-five trillion, eight hundred seventy-seven billion, four hundred million, three hundred seventy-four thousand, four hundred".