1553145840 has 400 divisors, whose sum is σ = 5969671488. Its totient is φ = 372252672.

The previous prime is 1553145809. The next prime is 1553145871. The reversal of 1553145840 is 485413551.

1553145840 is a `hidden beast` number, since 1 + 5 + 531 + 45 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1553145809) and next prime (1553145871).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1553145795 and 1553145804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2533374 + ... + 2533986.

Almost surely, 2^1553145840 is an apocalyptic number.

1553145840 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 1553145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984835744).

1553145840 is an abundant number, since it is smaller than the sum of its proper divisors (4416525648).

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

1553145840 is a wasteful number, since it uses less digits than its factorization.

1553145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1553145840 is about 39409.9713270639. The cubic root of 1553145840 is about 1158.0769365512.

The spelling of 1553145840 in words is "one billion, five hundred fifty-three million, one hundred forty-five thousand, eight hundred forty".