145448357376000 has 4992 divisors, whose sum is σ = 651104325181440. Its totient is φ = 28538044416000.

The previous prime is 145448357375917. The next prime is 145448357376029. The reversal of 145448357376000 is 673753844541.

It is a super-2 number, since 2×145448357376000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 753618431904 + ... + 753618432096.

It is an arithmetic number, because the mean of its divisors is an integer number (130429552320).

Almost surely, 2^{145448357376000} is an apocalyptic number.

145448357376000 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 145448357376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325552162590720).

145448357376000 is an abundant number, since it is smaller than the sum of its proper divisors (505655967805440).

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

145448357376000 is a wasteful number, since it uses less digits than its factorization.

145448357376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 145448357376000 in words is "one hundred forty-five trillion, four hundred forty-eight billion, three hundred fifty-seven million, three hundred seventy-six thousand".