157277520 has 120 divisors (see below), whose sum is σ = 536999112. Its totient is φ = 41241600.

The previous prime is 157277509. The next prime is 157277521. The reversal of 157277520 is 25772751.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 148060224 = 3036^2 + 12168^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157277521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42130 + ... + 45710.

Almost surely, 2^157277520 is an apocalyptic number.

157277520 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 157277520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268499556).

157277520 is an abundant number, since it is smaller than the sum of its proper divisors (379721592).

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

157277520 is a wasteful number, since it uses less digits than its factorization.

157277520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 157277520 is about 12541.0334502385. The cubic root of 157277520 is about 539.7867470705.

The spelling of 157277520 in words is "one hundred fifty-seven million, two hundred seventy-seven thousand, five hundred twenty".