145723748976000 has 3072 divisors, whose sum is σ = 609550683955200. Its totient is φ = 34195239936000.

The previous prime is 145723748975999. The next prime is 145723748976017. The reversal of 145723748976000 is 679847327541.

145723748976000 is a `hidden beast` number, since 1 + 4 + 57 + 2 + 37 + 489 + 76 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×145723748976000² (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 383 ways as a sum of consecutive naturals, for example, 2174981327967 + ... + 2174981328033.

It is an arithmetic number, because the mean of its divisors is an integer number (198421446600).

It is a 1-persistent number, because it is pandigital, but 2⋅145723748976000 = 291447497952000 is not.

Almost surely, 2^{145723748976000} is an apocalyptic number.

145723748976000 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 145723748976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304775341977600).

145723748976000 is an abundant number, since it is smaller than the sum of its proper divisors (463826934979200).

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

145723748976000 is an frugal number, since it uses more digits than its factorization.

145723748976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 145723748976000 in words is "one hundred forty-five trillion, seven hundred twenty-three billion, seven hundred forty-eight million, nine hundred seventy-six thousand".