153845640 has 192 divisors, whose sum is σ = 547223040. Its totient is φ = 37255680.

The previous prime is 153845639. The next prime is 153845647. The reversal of 153845640 is 46548351.

It is a happy number.

153845640 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 4 + 5 + 640 = 666.

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 = 153845595 and 153845604.

It is not an unprimeable number, because it can be changed into a prime (153845647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332049 + ... + 332511.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2^153845640 is an apocalyptic number.

153845640 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 153845640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

153845640 is an abundant number, since it is smaller than the sum of its proper divisors (393377400).

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

153845640 is a wasteful number, since it uses less digits than its factorization.

153845640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 153845640 is about 12403.4527451029. The cubic root of 153845640 is about 535.8316932765.

The spelling of 153845640 in words is "one hundred fifty-three million, eight hundred forty-five thousand, six hundred forty".