140738255205120 has 360 divisors, whose sum is σ = 503726800060176. Its totient is φ = 37519798689792.

The previous prime is 140738255205073. The next prime is 140738255205131. The reversal of 140738255205120 is 21502552837041.

140738255205120 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 3 + 82 + 5 + 52 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377519934 + ... + 377892546.

Almost surely, 2^{140738255205120} is an apocalyptic number.

140738255205120 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 140738255205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251863400030088).

140738255205120 is an abundant number, since it is smaller than the sum of its proper divisors (362988544855056).

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

140738255205120 is an equidigital number, since it uses as much as digits as its factorization.

140738255205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376289 (or 376266 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

It can be divided in two parts, 14073825 and 5205120, that added together give a triangular number (19278945 = T₆₂₀₉).

The spelling of 140738255205120 in words is "one hundred forty trillion, seven hundred thirty-eight billion, two hundred fifty-five million, two hundred five thousand, one hundred twenty".