157219440 has 240 divisors, whose sum is σ = 587774880. Its totient is φ = 34621440.

The previous prime is 157219429. The next prime is 157219463. The reversal of 157219440 is 44912751.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340810 + ... + 341270.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 2^157219440 is an apocalyptic number.

157219440 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 157219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

157219440 is an abundant number, since it is smaller than the sum of its proper divisors (430555440).

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

157219440 is a wasteful number, since it uses less digits than its factorization.

157219440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 157219440 is about 12538.7176377810. The cubic root of 157219440 is about 539.7202941021.

It can be divided in two parts, 1572 and 19440, that added together give a palindrome (21012).

The spelling of 157219440 in words is "one hundred fifty-seven million, two hundred nineteen thousand, four hundred forty".