152007840 has 240 divisors, whose sum is σ = 552697992. Its totient is φ = 39315456.

The previous prime is 152007833. The next prime is 152007853. The reversal of 152007840 is 48700251.

It can be written as a sum of positive squares in 4 ways, for example, as 115863696 + 36144144 = 10764^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479362 + ... + 479678.

Almost surely, 2^152007840 is an apocalyptic number.

152007840 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 152007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276348996).

152007840 is an abundant number, since it is smaller than the sum of its proper divisors (400690152).

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

152007840 is a wasteful number, since it uses less digits than its factorization.

152007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

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

The square root of 152007840 is about 12329.1459558235. The cubic root of 152007840 is about 533.6895051432.

The spelling of 152007840 in words is "one hundred fifty-two million, seven thousand, eight hundred forty".