153485640 has 384 divisors, whose sum is σ = 640224000. Its totient is φ = 31610880.

The previous prime is 153485627. The next prime is 153485641. The reversal of 153485640 is 46584351.

It is a happy number.

153485640 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 8 + 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 = 153485595 and 153485604.

It is not an unprimeable number, because it can be changed into a prime (153485641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1358224 + ... + 1358336.

It is an arithmetic number, because the mean of its divisors is an integer number (1667250).

Almost surely, 2^153485640 is an apocalyptic number.

153485640 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 153485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112000).

153485640 is an abundant number, since it is smaller than the sum of its proper divisors (486738360).

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

153485640 is a wasteful number, since it uses less digits than its factorization.

153485640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

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

The square root of 153485640 is about 12388.9321573734. The cubic root of 153485640 is about 535.4134167332.

The spelling of 153485640 in words is "one hundred fifty-three million, four hundred eighty-five thousand, six hundred forty".