145387982760 has 256 divisors, whose sum is σ = 478424620800. Its totient is φ = 35197747200.

The previous prime is 145387982731. The next prime is 145387982771. The reversal of 145387982760 is 67289783541.

145387982760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145387982760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 145387982694 and 145387982703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7434195 + ... + 7453725.

It is an arithmetic number, because the mean of its divisors is an integer number (1868846175).

It is a 1-persistent number, because it is pandigital, but 2⋅145387982760 = 290775965520 is not.

Almost surely, 2^145387982760 is an apocalyptic number.

145387982760 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 145387982760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239212310400).

145387982760 is an abundant number, since it is smaller than the sum of its proper divisors (333036638040).

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

145387982760 is a wasteful number, since it uses less digits than its factorization.

145387982760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19688 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 145387982760 in words is "one hundred forty-five billion, three hundred eighty-seven million, nine hundred eighty-two thousand, seven hundred sixty".