151788240 has 120 divisors (see below), whose sum is σ = 539784648. Its totient is φ = 38092800.

The previous prime is 151788211. The next prime is 151788251. The reversal of 151788240 is 42887151.

It can be written as a sum of positive squares in 4 ways, for example, as 23736384 + 128051856 = 4872^2 + 11316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 151788195 and 151788204.

It is a congruent number.

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, 6040 + ... + 18440.

Almost surely, 2^151788240 is an apocalyptic number.

151788240 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 151788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892324).

151788240 is an abundant number, since it is smaller than the sum of its proper divisors (387996408).

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

151788240 is a wasteful number, since it uses less digits than its factorization.

151788240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12437 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 151788240 is about 12320.2370107072. The cubic root of 151788240 is about 533.4323809099.

The spelling of 151788240 in words is "one hundred fifty-one million, seven hundred eighty-eight thousand, two hundred forty".