146139515835720 has 512 divisors, whose sum is σ = 498016047513600. Its totient is φ = 34001532518400.

The previous prime is 146139515835713. The next prime is 146139515835821. The reversal of 146139515835720 is 27538515931641.

146139515835720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×146139515835720⁴ (a number of 58 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 655837525 + ... + 656060315.

It is an arithmetic number, because the mean of its divisors is an integer number (972687592800).

It is a 1-persistent number, because it is pandigital, but 2⋅146139515835720 = 292279031671440 is not.

Almost surely, 2^{146139515835720} is an apocalyptic number.

146139515835720 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 146139515835720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249008023756800).

146139515835720 is an abundant number, since it is smaller than the sum of its proper divisors (351876531677880).

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

146139515835720 is a wasteful number, since it uses less digits than its factorization.

146139515835720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223069 (or 223065 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 60.

The spelling of 146139515835720 in words is "one hundred forty-six trillion, one hundred thirty-nine billion, five hundred fifteen million, eight hundred thirty-five thousand, seven hundred twenty".