153867840 has 168 divisors, whose sum is σ = 568464192. Its totient is φ = 35159040.

The previous prime is 153867827. The next prime is 153867869. The reversal of 153867840 is 48768351.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 153867792 and 153867801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45405 + ... + 48675.

Almost surely, 2^153867840 is an apocalyptic number.

153867840 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 153867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284232096).

153867840 is an abundant number, since it is smaller than the sum of its proper divisors (414596352).

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

153867840 is a wasteful number, since it uses less digits than its factorization.

153867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 153867840 is about 12404.3476249257. The cubic root of 153867840 is about 535.8574656274.

It can be divided in two parts, 1538 and 67840, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 153867840 in words is "one hundred fifty-three million, eight hundred sixty-seven thousand, eight hundred forty".