140987513157120 has 960 divisors, whose sum is σ = 589937891558400. Its totient is φ = 31817736437760.

The previous prime is 140987513157091. The next prime is 140987513157133. The reversal of 140987513157120 is 21751315789041.

It is a happy number.

140987513157120 is a `hidden beast` number, since 1 + 4 + 0 + 98 + 7 + 513 + 15 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 267300055 + ... + 267826985.

It is an arithmetic number, because the mean of its divisors is an integer number (614518637040).

Almost surely, 2^{140987513157120} is an apocalyptic number.

140987513157120 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 140987513157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294968945779200).

140987513157120 is an abundant number, since it is smaller than the sum of its proper divisors (448950378401280).

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

140987513157120 is an equidigital number, since it uses as much as digits as its factorization.

140987513157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527056 (or 527027 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 140987513157120 in words is "one hundred forty trillion, nine hundred eighty-seven billion, five hundred thirteen million, one hundred fifty-seven thousand, one hundred twenty".