151642040 has 192 divisors, whose sum is σ = 422301600. Its totient is φ = 48660480.

The previous prime is 151642019. The next prime is 151642081. The reversal of 151642040 is 40246151.

151642040 = T₁ + T₂ + ... + T₉₆₈.

151642040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

151642040 is a nontrivial binomial coefficient, being equal to C(970, 3).

It is a junction number, because it is equal to n+sod(n) for n = 151641997 and 151642015.

It is a congruent number.

It is an unprimeable number.

It is the 968-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563272 + ... + 1563368.

Almost surely, 2^151642040 is an apocalyptic number.

151642040 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 151642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211150800).

151642040 is an abundant number, since it is smaller than the sum of its proper divisors (270659560).

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

151642040 is a wasteful number, since it uses less digits than its factorization.

151642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 151642040 is about 12314.3022538835. The cubic root of 151642040 is about 533.2610613874.

Adding to 151642040 its reverse (40246151), we get a palindrome (191888191).

The spelling of 151642040 in words is "one hundred fifty-one million, six hundred forty-two thousand, forty".