154131420240 has 1120 divisors, whose sum is σ = 651074042880. Its totient is φ = 33171296256.

The previous prime is 154131420239. The next prime is 154131420251. The reversal of 154131420240 is 42024131451.

154131420240 is a `hidden beast` number, since 1 + 5 + 413 + 1 + 4 + 2 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 556430982 + ... + 556431258.

Almost surely, 2^154131420240 is an apocalyptic number.

154131420240 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 154131420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325537021440).

154131420240 is an abundant number, since it is smaller than the sum of its proper divisors (496942622640).

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

154131420240 is a wasteful number, since it uses less digits than its factorization.

154131420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 154131420240 its reverse (42024131451), we get a palindrome (196155551691).

The spelling of 154131420240 in words is "one hundred fifty-four billion, one hundred thirty-one million, four hundred twenty thousand, two hundred forty".