145878185376 has 1152 divisors, whose sum is σ = 573168960000. Its totient is φ = 34753904640.

The previous prime is 145878185353. The next prime is 145878185419. The reversal of 145878185376 is 673581878541.

145878185376 is a `hidden beast` number, since 1 + 4 + 5 + 87 + 8 + 18 + 537 + 6 = 666.

It is a super-2 number, since 2×145878185376² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 979048150 + ... + 979048298.

It is an arithmetic number, because the mean of its divisors is an integer number (497542500).

Almost surely, 2^145878185376 is an apocalyptic number.

145878185376 is a gapful number since it is divisible by the number (16) 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 145878185376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286584480000).

145878185376 is an abundant number, since it is smaller than the sum of its proper divisors (427290774624).

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

145878185376 is a wasteful number, since it uses less digits than its factorization.

145878185376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 145878185376 in words is "one hundred forty-five billion, eight hundred seventy-eight million, one hundred eighty-five thousand, three hundred seventy-six".