152137440 has 576 divisors, whose sum is σ = 678053376. Its totient is φ = 31352832.

The previous prime is 152137409. The next prime is 152137441. The reversal of 152137440 is 44731251.

152137440 is a `hidden beast` number, since 1 + 5 + 213 + 7 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152137441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538059 + ... + 3538101.

It is an arithmetic number, because the mean of its divisors is an integer number (1177176).

Almost surely, 2^152137440 is an apocalyptic number.

152137440 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 152137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339026688).

152137440 is an abundant number, since it is smaller than the sum of its proper divisors (525915936).

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

152137440 is a wasteful number, since it uses less digits than its factorization.

152137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

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

The square root of 152137440 is about 12334.4006745362. The cubic root of 152137440 is about 533.8411344110.

Adding to 152137440 its reverse (44731251), we get a palindrome (196868691).

The spelling of 152137440 in words is "one hundred fifty-two million, one hundred thirty-seven thousand, four hundred forty".