152267040 has 240 divisors, whose sum is σ = 556174080. Its totient is φ = 39191040.

The previous prime is 152267033. The next prime is 152267051. The reversal of 152267040 is 40762251.

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 a junction number, because it is equal to n+sod(n) for n = 152266995 and 152267013.

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, 401571 + ... + 401949.

It is an arithmetic number, because the mean of its divisors is an integer number (2317392).

Almost surely, 2^152267040 is an apocalyptic number.

152267040 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 152267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

152267040 is an abundant number, since it is smaller than the sum of its proper divisors (403907040).

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

152267040 is a wasteful number, since it uses less digits than its factorization.

152267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 152267040 is about 12339.6531555794. The cubic root of 152267040 is about 533.9926775918.

The spelling of 152267040 in words is "one hundred fifty-two million, two hundred sixty-seven thousand, forty".