152261840 has 80 divisors (see below), whose sum is σ = 374226048. Its totient is φ = 57497088.

The previous prime is 152261833. The next prime is 152261849. The reversal of 152261840 is 48162251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152261849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152222 + ... + 153218.

Almost surely, 2^152261840 is an apocalyptic number.

152261840 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 152261840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187113024).

152261840 is an abundant number, since it is smaller than the sum of its proper divisors (221964208).

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

152261840 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (152261839) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1110).

152261840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 152261840 is about 12339.4424509376. The cubic root of 152261840 is about 533.9865988118.

The spelling of 152261840 in words is "one hundred fifty-two million, two hundred sixty-one thousand, eight hundred forty".