151988040 has 96 divisors (see below), whose sum is σ = 509932800. Its totient is φ = 39219840.

The previous prime is 151988017. The next prime is 151988063. The reversal of 151988040 is 40889151.

151988040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151988017) and next prime (151988063).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151987986 and 151988004.

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, 4351 + ... + 17969.

It is an arithmetic number, because the mean of its divisors is an integer number (5311800).

Almost surely, 2^151988040 is an apocalyptic number.

151988040 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 151988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254966400).

151988040 is an abundant number, since it is smaller than the sum of its proper divisors (357944760).

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

151988040 is a wasteful number, since it uses less digits than its factorization.

151988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13667 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 151988040 is about 12328.3429543471. The cubic root of 151988040 is about 533.6663319721. Note that the first 3 decimals are identical.

The spelling of 151988040 in words is "one hundred fifty-one million, nine hundred eighty-eight thousand, forty".