145078671360 has 384 divisors, whose sum is σ = 553525539840. Its totient is φ = 31717982208.

The previous prime is 145078671341. The next prime is 145078671391. The reversal of 145078671360 is 63176870541.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4931254 + ... + 4960586.

It is an arithmetic number, because the mean of its divisors is an integer number (1441472760).

Almost surely, 2^145078671360 is an apocalyptic number.

145078671360 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 145078671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276762769920).

145078671360 is an abundant number, since it is smaller than the sum of its proper divisors (408446868480).

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

145078671360 is a wasteful number, since it uses less digits than its factorization.

145078671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29393 (or 29373 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 145078671360 in words is "one hundred forty-five billion, seventy-eight million, six hundred seventy-one thousand, three hundred sixty".