157745040 has 240 divisors, whose sum is σ = 553785984. Its totient is φ = 36945920.

The previous prime is 157744987. The next prime is 157745053. The reversal of 157745040 is 40547751.

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

It is a junction number, because it is equal to n+sod(n) for n = 157744992 and 157745010.

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, 3847420 + ... + 3847460.

Almost surely, 2^157745040 is an apocalyptic number.

157745040 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 157745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276892992).

157745040 is an abundant number, since it is smaller than the sum of its proper divisors (396040944).

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

157745040 is a wasteful number, since it uses less digits than its factorization.

157745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 157745040 is about 12559.6592310460. The cubic root of 157745040 is about 540.3210710637.

The spelling of 157745040 in words is "one hundred fifty-seven million, seven hundred forty-five thousand, forty".