153895140 has 240 divisors, whose sum is σ = 566907264. Its totient is φ = 34214400.

The previous prime is 153895103. The next prime is 153895163. The reversal of 153895140 is 41598351.

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 = 153895095 and 153895104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 464775 + ... + 465105.

Almost surely, 2^153895140 is an apocalyptic number.

153895140 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 153895140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283453632).

153895140 is an abundant number, since it is smaller than the sum of its proper divisors (413012124).

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

153895140 is a wasteful number, since it uses less digits than its factorization.

153895140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 153895140 is about 12405.4479967472. The cubic root of 153895140 is about 535.8891552552.

The spelling of 153895140 in words is "one hundred fifty-three million, eight hundred ninety-five thousand, one hundred forty".