157689840 has 480 divisors, whose sum is σ = 659529216. Its totient is φ = 30750720.

The previous prime is 157689827. The next prime is 157689881. The reversal of 157689840 is 48986751.

157689840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157689840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2975254 + ... + 2975306.

Almost surely, 2^157689840 is an apocalyptic number.

157689840 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 157689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329764608).

157689840 is an abundant number, since it is smaller than the sum of its proper divisors (501839376).

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

157689840 is a wasteful number, since it uses less digits than its factorization.

157689840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 157689840 is about 12557.4615269170. The cubic root of 157689840 is about 540.2580385424.

It can be divided in two parts, 15 and 7689840, that multiplied together give a square (115347600 = 10740²).

The spelling of 157689840 in words is "one hundred fifty-seven million, six hundred eighty-nine thousand, eight hundred forty".