151627840 has 224 divisors, whose sum is σ = 458809344. Its totient is φ = 46448640.

The previous prime is 151627831. The next prime is 151627843. The reversal of 151627840 is 48726151.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 151627796 and 151627805.

It is not an unprimeable number, because it can be changed into a prime (151627843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193857 + ... + 1193983.

It is an arithmetic number, because the mean of its divisors is an integer number (2048256).

Almost surely, 2^151627840 is an apocalyptic number.

151627840 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 151627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229404672).

151627840 is an abundant number, since it is smaller than the sum of its proper divisors (307181504).

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

151627840 is a wasteful number, since it uses less digits than its factorization.

151627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 151627840 is about 12313.7256750343. The cubic root of 151627840 is about 533.2444157320.

The spelling of 151627840 in words is "one hundred fifty-one million, six hundred twenty-seven thousand, eight hundred forty".