140120820 has 192 divisors, whose sum is σ = 524697600. Its totient is φ = 30326400.

The previous prime is 140120819. The next prime is 140120833. The reversal of 140120820 is 28021041.

It is a super-3 number, since 3×140120820³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140120793 and 140120802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70845 + ... + 72795.

It is an arithmetic number, because the mean of its divisors is an integer number (2732800).

Almost surely, 2^140120820 is an apocalyptic number.

140120820 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 140120820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262348800).

140120820 is an abundant number, since it is smaller than the sum of its proper divisors (384576780).

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

140120820 is a wasteful number, since it uses less digits than its factorization.

140120820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140120820 is about 11837.2640419989. The cubic root of 140120820 is about 519.3987379837.

Adding to 140120820 its reverse (28021041), we get a palindrome (168141861).

The spelling of 140120820 in words is "one hundred forty million, one hundred twenty thousand, eight hundred twenty".