152780040 has 192 divisors, whose sum is σ = 592617600. Its totient is φ = 34909056.

The previous prime is 152780039. The next prime is 152780041. The reversal of 152780040 is 40087251.

It is an interprime number because it is at equal distance from previous prime (152780039) and next prime (152780041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152779986 and 152780013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152780041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51477 + ... + 54363.

It is an arithmetic number, because the mean of its divisors is an integer number (3086550).

Almost surely, 2^152780040 is an apocalyptic number.

152780040 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 152780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296308800).

152780040 is an abundant number, since it is smaller than the sum of its proper divisors (439837560).

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

152780040 is a wasteful number, since it uses less digits than its factorization.

152780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152780040 is about 12360.4223228820. The cubic root of 152780040 is about 534.5916935883.

The spelling of 152780040 in words is "one hundred fifty-two million, seven hundred eighty thousand, forty".