139954314240 has 1056 divisors, whose sum is σ = 574567680960. Its totient is φ = 32360103936.

The previous prime is 139954314233. The next prime is 139954314277. The reversal of 139954314240 is 42413459931.

139954314240 is a `hidden beast` number, since 1 + 3 + 9 + 95 + 4 + 314 + 240 = 666.

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

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, 274959106 + ... + 274959614.

Almost surely, 2^139954314240 is an apocalyptic number.

139954314240 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 139954314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287283840480).

139954314240 is an abundant number, since it is smaller than the sum of its proper divisors (434613366720).

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

139954314240 is a wasteful number, since it uses less digits than its factorization.

139954314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 139954314240 in words is "one hundred thirty-nine billion, nine hundred fifty-four million, three hundred fourteen thousand, two hundred forty".