145756139760 has 480 divisors, whose sum is σ = 629976821760. Its totient is φ = 29309644800.

The previous prime is 145756139743. The next prime is 145756139807. The reversal of 145756139760 is 67931657541.

145756139760 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 561 + 3 + 9 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145756139697 and 145756139706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1676236 + ... + 1761044.

It is an arithmetic number, because the mean of its divisors is an integer number (1312451712).

Almost surely, 2^145756139760 is an apocalyptic number.

145756139760 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 145756139760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314988410880).

145756139760 is an abundant number, since it is smaller than the sum of its proper divisors (484220682000).

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

145756139760 is a wasteful number, since it uses less digits than its factorization.

145756139760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84877 (or 84868 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 145756139760 in words is "one hundred forty-five billion, seven hundred fifty-six million, one hundred thirty-nine thousand, seven hundred sixty".