151688040 has 128 divisors (see below), whose sum is σ = 526176000. Its totient is φ = 34265088.

The previous prime is 151688027. The next prime is 151688063. The reversal of 151688040 is 40886151.

It is a super-2 number, since 2×151688040² = 46018522958083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151687992 and 151688010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73746 + ... + 75774.

It is an arithmetic number, because the mean of its divisors is an integer number (4110750).

Almost surely, 2^151688040 is an apocalyptic number.

151688040 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 151688040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263088000).

151688040 is an abundant number, since it is smaller than the sum of its proper divisors (374487960).

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

151688040 is a wasteful number, since it uses less digits than its factorization.

151688040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 151688040 is about 12316.1698591729. The cubic root of 151688040 is about 533.3149767988.

The spelling of 151688040 in words is "one hundred fifty-one million, six hundred eighty-eight thousand, forty".